CSS - PMS - CCE - PCS - Mathematics
Geometry
Find arc length for radius 14 cm and central angle 210°. Use π≈3.1416.
A. 54.31 cm
B. 51.31 cm
C. 57.31 cm
D. 48.31 cm
Correct Answer: B
Arc length=(210/360)×2π×14≈51.31 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Find arc length for radius 13 cm and central angle 180°. Use π≈3.1416.
A. 46.84 cm
B. 43.84 cm
C. 37.84 cm
D. 40.84 cm
Correct Answer: D
Arc length=(180/360)×2π×13≈40.84 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Find arc length for radius 12 cm and central angle 165°. Use π≈3.1416.
A. 31.56 cm
B. 40.56 cm
C. 34.56 cm
D. 37.56 cm
Correct Answer: C
Arc length=(165/360)×2π×12≈34.56 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Find arc length for radius 11 cm and central angle 150°. Use π≈3.1416.
A. 28.8 cm
B. 25.8 cm
C. 34.8 cm
D. 31.8 cm
Correct Answer: A
Arc length=(150/360)×2π×11≈28.8 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Find arc length for radius 10 cm and central angle 135°. Use π≈3.1416.
A. 20.56 cm
B. 23.56 cm
C. 26.56 cm
D. 29.56 cm
Correct Answer: B
Arc length=(135/360)×2π×10≈23.56 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Find arc length for radius 9 cm and central angle 120°. Use π≈3.1416.
A. 18.85 cm
B. 24.85 cm
C. 21.85 cm
D. 15.85 cm
Correct Answer: A
Arc length=(120/360)×2π×9≈18.85 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Find arc length for radius 8 cm and central angle 105°. Use π≈3.1416.
A. 20.66 cm
B. 17.66 cm
C. 11.66 cm
D. 14.66 cm
Correct Answer: D
Arc length=(105/360)×2π×8≈14.66 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Find arc length for radius 7 cm and central angle 90°. Use π≈3.1416.
A. 11 cm
B. 8 cm
C. 14 cm
D. 17 cm
Correct Answer: A
Arc length=(90/360)×2π×7≈11 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Find arc length for radius 6 cm and central angle 75°. Use π≈3.1416.
A. 7.85 cm
B. 10.85 cm
C. 13.85 cm
D. 4.85 cm
Correct Answer: A
Arc length=(75/360)×2π×6≈7.85 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Find arc length for radius 5 cm and central angle 60°. Use π≈3.1416.
A. 2.24 cm
B. 11.24 cm
C. 8.24 cm
D. 5.24 cm
Correct Answer: D
Arc length=(60/360)×2π×5≈5.24 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Find area of a sector with radius 14 cm and angle 180°. Use π≈3.1416.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><circle cx="130" cy="95" r="65" fill="none" stroke="#1f2937" stroke-width="2"/><circle cx="130" cy="95" r="3" fill="#111"/><text x="137" y="91" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">O</text><line x1="130" y1="95" x2="195" y2="95" stroke="#2563eb" stroke-width="2.5"/><text x="153" y="85" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">r=14</text><line x1="130" y1="95" x2="176" y2="50" stroke="#2563eb" stroke-width="2.5"/><line x1="130" y1="95" x2="185" y2="128" stroke="#2563eb" stroke-width="2.5"/><text x="148" y="88" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">180°</text></svg>
A. 307.88 cm²
B. 303.88 cm²
C. 315.88 cm²
D. 311.88 cm²
Correct Answer: A
Sector area=(180/360)π14²≈307.88 cm².
CSS - PMS - CCE - PCS - Mathematics
Geometry
Find area of a sector with radius 13 cm and angle 150°. Use π≈3.1416.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><circle cx="130" cy="95" r="65" fill="none" stroke="#1f2937" stroke-width="2"/><circle cx="130" cy="95" r="3" fill="#111"/><text x="137" y="91" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">O</text><line x1="130" y1="95" x2="195" y2="95" stroke="#2563eb" stroke-width="2.5"/><text x="153" y="85" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">r=13</text><line x1="130" y1="95" x2="176" y2="50" stroke="#2563eb" stroke-width="2.5"/><line x1="130" y1="95" x2="185" y2="128" stroke="#2563eb" stroke-width="2.5"/><text x="148" y="88" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">150°</text></svg>
A. 229.22 cm²
B. 221.22 cm²
C. 225.22 cm²
D. 217.22 cm²
Correct Answer: B
Sector area=(150/360)π13²≈221.22 cm².
CSS - PMS - CCE - PCS - Mathematics
Geometry
Find area of a sector with radius 12 cm and angle 135°. Use π≈3.1416.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><circle cx="130" cy="95" r="65" fill="none" stroke="#1f2937" stroke-width="2"/><circle cx="130" cy="95" r="3" fill="#111"/><text x="137" y="91" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">O</text><line x1="130" y1="95" x2="195" y2="95" stroke="#2563eb" stroke-width="2.5"/><text x="153" y="85" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">r=12</text><line x1="130" y1="95" x2="176" y2="50" stroke="#2563eb" stroke-width="2.5"/><line x1="130" y1="95" x2="185" y2="128" stroke="#2563eb" stroke-width="2.5"/><text x="148" y="88" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">135°</text></svg>
A. 165.65 cm²
B. 177.65 cm²
C. 173.65 cm²
D. 169.65 cm²
Correct Answer: D
Sector area=(135/360)π12²≈169.65 cm².
CSS - PMS - CCE - PCS - Mathematics
Geometry
Find area of a sector with radius 11 cm and angle 120°. Use π≈3.1416.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><circle cx="130" cy="95" r="65" fill="none" stroke="#1f2937" stroke-width="2"/><circle cx="130" cy="95" r="3" fill="#111"/><text x="137" y="91" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">O</text><line x1="130" y1="95" x2="195" y2="95" stroke="#2563eb" stroke-width="2.5"/><text x="153" y="85" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">r=11</text><line x1="130" y1="95" x2="176" y2="50" stroke="#2563eb" stroke-width="2.5"/><line x1="130" y1="95" x2="185" y2="128" stroke="#2563eb" stroke-width="2.5"/><text x="148" y="88" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">120°</text></svg>
A. 134.71 cm²
B. 130.71 cm²
C. 126.71 cm²
D. 122.71 cm²
Correct Answer: C
Sector area=(120/360)π11²≈126.71 cm².
CSS - PMS - CCE - PCS - Mathematics
Geometry
Find area of a sector with radius 10 cm and angle 105°. Use π≈3.1416.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><circle cx="130" cy="95" r="65" fill="none" stroke="#1f2937" stroke-width="2"/><circle cx="130" cy="95" r="3" fill="#111"/><text x="137" y="91" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">O</text><line x1="130" y1="95" x2="195" y2="95" stroke="#2563eb" stroke-width="2.5"/><text x="153" y="85" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">r=10</text><line x1="130" y1="95" x2="176" y2="50" stroke="#2563eb" stroke-width="2.5"/><line x1="130" y1="95" x2="185" y2="128" stroke="#2563eb" stroke-width="2.5"/><text x="148" y="88" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">105°</text></svg>
A. 87.63 cm²
B. 99.63 cm²
C. 91.63 cm²
D. 95.63 cm²
Correct Answer: C
Sector area=(105/360)π10²≈91.63 cm².
CSS - PMS - CCE - PCS - Mathematics
Geometry
Find area of a sector with radius 9 cm and angle 90°. Use π≈3.1416.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><circle cx="130" cy="95" r="65" fill="none" stroke="#1f2937" stroke-width="2"/><circle cx="130" cy="95" r="3" fill="#111"/><text x="137" y="91" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">O</text><line x1="130" y1="95" x2="195" y2="95" stroke="#2563eb" stroke-width="2.5"/><text x="153" y="85" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">r=9</text><line x1="130" y1="95" x2="176" y2="50" stroke="#2563eb" stroke-width="2.5"/><line x1="130" y1="95" x2="185" y2="128" stroke="#2563eb" stroke-width="2.5"/><text x="148" y="88" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">90°</text></svg>
A. 71.62 cm²
B. 67.62 cm²
C. 59.62 cm²
D. 63.62 cm²
Correct Answer: D
Sector area=(90/360)π9²≈63.62 cm².
CSS - PMS - CCE - PCS - Mathematics
Geometry
Find area of a sector with radius 8 cm and angle 72°. Use π≈3.1416.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><circle cx="130" cy="95" r="65" fill="none" stroke="#1f2937" stroke-width="2"/><circle cx="130" cy="95" r="3" fill="#111"/><text x="137" y="91" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">O</text><line x1="130" y1="95" x2="195" y2="95" stroke="#2563eb" stroke-width="2.5"/><text x="153" y="85" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">r=8</text><line x1="130" y1="95" x2="176" y2="50" stroke="#2563eb" stroke-width="2.5"/><line x1="130" y1="95" x2="185" y2="128" stroke="#2563eb" stroke-width="2.5"/><text x="148" y="88" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">72°</text></svg>
A. 40.21 cm²
B. 36.21 cm²
C. 44.21 cm²
D. 48.21 cm²
Correct Answer: A
Sector area=(72/360)π8²≈40.21 cm².
CSS - PMS - CCE - PCS - Mathematics
Geometry
Find area of a sector with radius 7 cm and angle 60°. Use π≈3.1416.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><circle cx="130" cy="95" r="65" fill="none" stroke="#1f2937" stroke-width="2"/><circle cx="130" cy="95" r="3" fill="#111"/><text x="137" y="91" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">O</text><line x1="130" y1="95" x2="195" y2="95" stroke="#2563eb" stroke-width="2.5"/><text x="153" y="85" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">r=7</text><line x1="130" y1="95" x2="176" y2="50" stroke="#2563eb" stroke-width="2.5"/><line x1="130" y1="95" x2="185" y2="128" stroke="#2563eb" stroke-width="2.5"/><text x="148" y="88" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">60°</text></svg>
A. 25.66 cm²
B. 21.66 cm²
C. 33.66 cm²
D. 29.66 cm²
Correct Answer: A
Sector area=(60/360)π7²≈25.66 cm².
CSS - PMS - CCE - PCS - Mathematics
Geometry
Find area of a sector with radius 6 cm and angle 45°. Use π≈3.1416.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><circle cx="130" cy="95" r="65" fill="none" stroke="#1f2937" stroke-width="2"/><circle cx="130" cy="95" r="3" fill="#111"/><text x="137" y="91" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">O</text><line x1="130" y1="95" x2="195" y2="95" stroke="#2563eb" stroke-width="2.5"/><text x="153" y="85" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">r=6</text><line x1="130" y1="95" x2="176" y2="50" stroke="#2563eb" stroke-width="2.5"/><line x1="130" y1="95" x2="185" y2="128" stroke="#2563eb" stroke-width="2.5"/><text x="148" y="88" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">45°</text></svg>
A. 14.14 cm²
B. 10.14 cm²
C. 22.14 cm²
D. 18.14 cm²
Correct Answer: A
Sector area=(45/360)π6²≈14.14 cm².
CSS - PMS - CCE - PCS - Mathematics
Geometry
Find area of a sector with radius 5 cm and angle 30°. Use π≈3.1416.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><circle cx="130" cy="95" r="65" fill="none" stroke="#1f2937" stroke-width="2"/><circle cx="130" cy="95" r="3" fill="#111"/><text x="137" y="91" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">O</text><line x1="130" y1="95" x2="195" y2="95" stroke="#2563eb" stroke-width="2.5"/><text x="153" y="85" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">r=5</text><line x1="130" y1="95" x2="176" y2="50" stroke="#2563eb" stroke-width="2.5"/><line x1="130" y1="95" x2="185" y2="128" stroke="#2563eb" stroke-width="2.5"/><text x="148" y="88" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">30°</text></svg>
A. 14.54 cm²
B. 10.54 cm²
C. 6.54 cm²
D. 2.54 cm²
Correct Answer: C
Sector area=(30/360)π5²≈6.54 cm².