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Areas Related to Circles — Class 10 CBSE Mathematics MCQs with Solutions
Free Class 10 CBSE Mathematics Areas Related to Circles MCQs with step-by-step solutions. Practise online on Prepizo — no login needed.
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Sample questions with solutions
Q1 — easy
The area of a circle of radius 7 cm is (π = 22/7):
A. 44 cm²
B. 154 cm² ✓ Correct
C. 22 cm²
D. 49 cm²
Solution: 22/7 × 49 = 154 cm².
Q2 — easy
A semicircle is what fraction of a full circle?
A. 1/4
B. 1/3
C. 1/2 ✓ Correct
D. 2/3
Solution: Half of the circle.
Q3 — easy
The circumference of a circle of diameter 14 cm is (π = 22/7):
A. 22 cm
B. 44 cm ✓ Correct
C. 88 cm
D. 154 cm
Solution: πd = 22/7 × 14 = 44 cm.
Q4 — hard
If the area of a circle is 154 cm², its circumference is (π = 22/7):
A. 22 cm
B. 44 cm ✓ Correct
C. 66 cm
D. 88 cm
Solution: r = 7, so C = 44 cm.
Q5 — hard
A wire bent into a circle of radius 28 cm is rebent into a square. The side of the square is:
A. 22 cm
B. 33 cm
C. 44 cm ✓ Correct
D. 66 cm
Solution: Circumference 176 cm ÷ 4 = 44 cm.
Q6 — hard
The area swept by the minute hand of length 14 cm in 15 minutes is (π = 22/7):
A. 77 cm²
B. 154 cm² ✓ Correct
C. 231 cm²
D. 616 cm²
Solution: 15 min = 90°, so ¼ × 616 = 154 cm².
Q7 — medium
The length of an arc of angle 60° in a circle of radius 21 cm is (π = 22/7):
A. 11 cm
B. 22 cm ✓ Correct
C. 33 cm
D. 44 cm
Solution: 60/360 × 2 × 22/7 × 21 = 22 cm.
Q8 — medium
If the circumference of a circle is 44 cm, its radius is (π = 22/7):
A. 5 cm
B. 7 cm ✓ Correct
C. 11 cm
D. 14 cm
Solution: 2πr = 44 → r = 7 cm.
Q9 — medium
The area of a sector with angle 90° in a circle of radius 10 cm (π = 3.14) is:
A. 31.4 cm²
B. 78.5 cm² ✓ Correct
C. 157 cm²
D. 314 cm²
Solution: ¼ × 314 = 78.5 cm².