CSS - PMS - CCE - PCS - Mathematics
Geometry
Composite figure: rectangle 19×14 cm plus external semicircle of diameter 14 cm. Find total area using π≈3.1416.
A. 342.97 cm²
B. 352.97 cm²
C. 362.97 cm²
D. 332.97 cm²
Correct Answer: A
Area=19×14+½π(7)²≈342.97 cm².
CSS - PMS - CCE - PCS - Mathematics
Geometry
Composite figure: rectangle 18×12 cm plus external semicircle of diameter 12 cm. Find total area using π≈3.1416.
A. 262.55 cm²
B. 272.55 cm²
C. 282.55 cm²
D. 292.55 cm²
Correct Answer: B
Area=18×12+½π(6)²≈272.55 cm².
CSS - PMS - CCE - PCS - Mathematics
Geometry
Composite figure: rectangle 17×10 cm plus external semicircle of diameter 10 cm. Find total area using π≈3.1416.
A. 199.27 cm²
B. 209.27 cm²
C. 219.27 cm²
D. 229.27 cm²
Correct Answer: B
Area=17×10+½π(5)²≈209.27 cm².
CSS - PMS - CCE - PCS - Mathematics
Geometry
Composite figure: rectangle 16×8 cm plus external semicircle of diameter 8 cm. Find total area using π≈3.1416.
A. 163.13 cm²
B. 153.13 cm²
C. 173.13 cm²
D. 143.13 cm²
Correct Answer: B
Area=16×8+½π(4)²≈153.13 cm².
CSS - PMS - CCE - PCS - Mathematics
Geometry
Composite figure: rectangle 15×6 cm plus external semicircle of diameter 6 cm. Find total area using π≈3.1416.
A. 124.14 cm²
B. 94.14 cm²
C. 104.14 cm²
D. 114.14 cm²
Correct Answer: C
Area=15×6+½π(3)²≈104.14 cm².
CSS - PMS - CCE - PCS - Mathematics
Geometry
Composite figure: rectangle 14×14 cm plus external semicircle of diameter 14 cm. Find total area using π≈3.1416.
A. 282.97 cm²
B. 292.97 cm²
C. 262.97 cm²
D. 272.97 cm²
Correct Answer: D
Area=14×14+½π(7)²≈272.97 cm².
CSS - PMS - CCE - PCS - Mathematics
Geometry
Composite figure: rectangle 13×12 cm plus external semicircle of diameter 12 cm. Find total area using π≈3.1416.
A. 232.55 cm²
B. 222.55 cm²
C. 212.55 cm²
D. 202.55 cm²
Correct Answer: C
Area=13×12+½π(6)²≈212.55 cm².
CSS - PMS - CCE - PCS - Mathematics
Geometry
Composite figure: rectangle 12×10 cm plus external semicircle of diameter 10 cm. Find total area using π≈3.1416.
A. 169.27 cm²
B. 159.27 cm²
C. 149.27 cm²
D. 179.27 cm²
Correct Answer: B
Area=12×10+½π(5)²≈159.27 cm².
CSS - PMS - CCE - PCS - Mathematics
Geometry
Composite figure: rectangle 11×8 cm plus external semicircle of diameter 8 cm. Find total area using π≈3.1416.
A. 133.13 cm²
B. 103.13 cm²
C. 123.13 cm²
D. 113.13 cm²
Correct Answer: D
Area=11×8+½π(4)²≈113.13 cm².
CSS - PMS - CCE - PCS - Mathematics
Geometry
Composite figure: rectangle 10×6 cm plus external semicircle of diameter 6 cm. Find total area using π≈3.1416.
A. 74.14 cm²
B. 64.14 cm²
C. 94.14 cm²
D. 84.14 cm²
Correct Answer: A
Area=10×6+½π(3)²≈74.14 cm².
CSS - PMS - CCE - PCS - Mathematics
Geometry
Circle radius 19 cm, chord 12 cm. Find distance from center to chord.<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="82" y1="52" x2="185" y2="135" stroke="#2563eb" stroke-width="2.5"/><text x="72" y="47" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="190" y="146" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text></svg>
A. 20.03 cm
B. 16.03 cm
C. 22.03 cm
D. 18.03 cm
Correct Answer: D
Half-chord=6; d=√(19²−6²)=√325≈18.03 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Circle radius 18 cm, chord 10 cm. Find distance from center to chord.<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="82" y1="52" x2="185" y2="135" stroke="#2563eb" stroke-width="2.5"/><text x="72" y="47" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="190" y="146" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text></svg>
A. 15.29 cm
B. 19.29 cm
C. 17.29 cm
D. 21.29 cm
Correct Answer: C
Half-chord=5; d=√(18²−5²)=√299≈17.29 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Circle radius 17 cm, chord 8 cm. Find distance from center to chord.<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="82" y1="52" x2="185" y2="135" stroke="#2563eb" stroke-width="2.5"/><text x="72" y="47" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="190" y="146" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text></svg>
A. 18.52 cm
B. 14.52 cm
C. 20.52 cm
D. 16.52 cm
Correct Answer: D
Half-chord=4; d=√(17²−4²)=√273≈16.52 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Circle radius 16 cm, chord 6 cm. Find distance from center to chord.<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="82" y1="52" x2="185" y2="135" stroke="#2563eb" stroke-width="2.5"/><text x="72" y="47" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="190" y="146" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text></svg>
A. 15.72 cm
B. 13.72 cm
C. 17.72 cm
D. 19.72 cm
Correct Answer: A
Half-chord=3; d=√(16²−3²)=√247≈15.72 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Circle radius 15 cm, chord 4 cm. Find distance from center to chord.<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="82" y1="52" x2="185" y2="135" stroke="#2563eb" stroke-width="2.5"/><text x="72" y="47" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="190" y="146" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text></svg>
A. 14.87 cm
B. 16.87 cm
C. 12.87 cm
D. 18.87 cm
Correct Answer: A
Half-chord=2; d=√(15²−2²)=√221≈14.87 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Circle radius 14 cm, chord 12 cm. Find distance from center to chord.<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="82" y1="52" x2="185" y2="135" stroke="#2563eb" stroke-width="2.5"/><text x="72" y="47" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="190" y="146" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text></svg>
A. 10.65 cm
B. 12.65 cm
C. 16.65 cm
D. 14.65 cm
Correct Answer: B
Half-chord=6; d=√(14²−6²)=√160≈12.65 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Circle radius 13 cm, chord 10 cm. Find distance from center to chord.<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="82" y1="52" x2="185" y2="135" stroke="#2563eb" stroke-width="2.5"/><text x="72" y="47" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="190" y="146" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text></svg>
A. 14 cm
B. 10 cm
C. 12 cm
D. 16 cm
Correct Answer: C
Half-chord=5; d=√(13²−5²)=√144≈12 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Circle radius 12 cm, chord 8 cm. Find distance from center to chord.<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="82" y1="52" x2="185" y2="135" stroke="#2563eb" stroke-width="2.5"/><text x="72" y="47" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="190" y="146" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text></svg>
A. 11.31 cm
B. 9.31 cm
C. 15.31 cm
D. 13.31 cm
Correct Answer: A
Half-chord=4; d=√(12²−4²)=√128≈11.31 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Circle radius 11 cm, chord 6 cm. Find distance from center to chord.<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="82" y1="52" x2="185" y2="135" stroke="#2563eb" stroke-width="2.5"/><text x="72" y="47" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="190" y="146" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text></svg>
A. 10.58 cm
B. 12.58 cm
C. 8.58 cm
D. 14.58 cm
Correct Answer: A
Half-chord=3; d=√(11²−3²)=√112≈10.58 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Circle radius 10 cm, chord 4 cm. Find distance from center to chord.<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="82" y1="52" x2="185" y2="135" stroke="#2563eb" stroke-width="2.5"/><text x="72" y="47" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="190" y="146" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text></svg>
A. 11.8 cm
B. 7.8 cm
C. 9.8 cm
D. 13.8 cm
Correct Answer: C
Half-chord=2; d=√(10²−2²)=√96≈9.8 cm.