1. Find the area of a circle with radius 7 cm. (Use π=22/7)
- A144 cm²
- B149 cm²
- C154 cm²
- D159 cm²
Show answer
Answer: C
Area=πr²=(22/7)×7×7=154 cm².
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Geometry - Circles — Mathematics Questions & Practice
Practise 40 Geometry - Circles questions from Mathematics for competitive exams such as UPSC, Banking, SSC and Railway. Read the worked questions below, check every answer with an explanation, and track what you get wrong.
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Practice questions on Geometry - Circles — with answers
Try each question first, then open the answer. Explanations are included.
2. Find the circumference of a circle with radius 14 cm. (Use π=22/7)
- A82 cm
- B85 cm
- C88 cm
- D91 cm
Show answer
Answer: C
Circumference=2πr=2×(22/7)×14=88 cm.
3. A tangent is drawn from an external point 13 cm from the center of a circle of radius 5 cm. What is the length of the tangent?
- A10 cm
- B11 cm
- C12 cm
- D13 cm
Show answer
Answer: C
Tangent length=√(d²-r²)=√(169-25)=√144=12 cm.
4. A chord is at a distance of 6 cm from the center of a circle of radius 10 cm. What is the length of the chord?
- A12 cm
- B14 cm
- C16 cm
- D18 cm
Show answer
Answer: C
Half-chord=√(r²-d²)=√(100-36)=√64=8 cm. Full chord=16 cm.
5. What is the angle subtended by a semicircle at any point on its circumference?
- A45°
- B60°
- C90°
- D180°
Show answer
Answer: C
The angle in a semicircle is always a right angle (90°), by the theorem of angle in a semicircle.
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