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Areas Related to Circles Practice Questions

Class 10 · Mathematics · 650 free MCQs with instant results and detailed explanations.

650
Total
284
Easy
269
Medium
97
Hard

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Topics in Areas Related to Circles

Perimeter and Area of a Circle 335
Combination of Figures 192
Area of Sector and Segment 123

Sample Questions from Areas Related to Circles

Here are 10 sample questions. Start a quiz to get randomized questions with scoring.

Q1
Easy
What is the area of a circle with a radius of 7 cm?
A. 154 cm²
B. 44 cm²
C. 49 cm²
D. 28 cm²
Show Answer & Explanation
Correct Answer: A
The area of a circle is calculated using the formula A = πr². Substituting r = 7 cm, we get A = π(7)² = 154 cm².
Q2
Easy
If the area of a circle is 78.5 cm², what is the radius?
A. 5 cm
B. 7 cm
C. 10 cm
D. 8 cm
Show Answer & Explanation
Correct Answer: B
Using the area formula A = πr², and given A = 78.5 cm², we rearrange to find r = √(A/π) = √(78.5/π) ≈ 7 cm.
Q3
Easy
A circle has a circumference of 31.4 cm. What is its diameter?
A. 10 cm
B. 5 cm
C. 15 cm
D. 20 cm
Show Answer & Explanation
Correct Answer: A
The circumference C = πd. Rearranging gives d = C/π. Substituting C = 31.4 cm, we get d = 31.4/π ≈ 10 cm.
Q4
Medium
What is the area of a circle with a radius of 7 cm?
A. 154 cm²
B. 144 cm²
C. 196 cm²
D. 112 cm²
Show Answer & Explanation
Correct Answer: A
The area of a circle is calculated using the formula A = πr². Here, r = 7 cm, so A = π(7)² = 49π ≈ 154 cm².
Q5
Medium
A circular garden has a diameter of 20 m. How much fencing is needed to enclose it?
A. 62.8 m
B. 31.4 m
C. 12.57 m
D. 40 m
Show Answer & Explanation
Correct Answer: A
Fencing needed is equal to the circumference. C = πd = π(20) = 20π ≈ 62.8 m.
Q6
Medium
A circle's radius is increased by 2 cm. How does this change the area?
A. Increases by 24π cm²
B. Increases by 12π cm²
C. Decreases by 24π cm²
D. Remains the same
Show Answer & Explanation
Correct Answer: A
Area change can be calculated using A = π(r²) and A' = π((r+2)²). The difference is 24π cm².
Q7
Medium
A circular pond has a radius of 9 m. What is the area of the pond?
A. 254.34 m²
B. 282.6 m²
C. 314.16 m²
D. 318.7 m²
Show Answer & Explanation
Correct Answer: C
Area is calculated using A = πr². For r = 9 m, A = π(9)² = 81π ≈ 314.16 m².
Q8
Hard
A sector of a circle has an angle of 60 degrees and a radius of 12 cm. What is the area of the sector?
A. 24π cm²
B. 12π cm²
C. 6π cm²
D. 30π cm²
Show Answer & Explanation
Correct Answer: A
The area of a sector is given by (θ/360) * πr². Here, θ = 60 degrees, and radius r = 12 cm. Area = (60/360) * π * (12)² = (1/6) * 144π = 24π cm².
Q9
Hard
If the area of a circle is increased by 50%, what will be the new radius compared to the original radius?
A. Increased by √1.5 times
B. Increased by 1.5 times
C. Increased by 2 times
D. Remains the same
Show Answer & Explanation
Correct Answer: A
If the area increases by 50%, the new area = 1.5A. Given A = πr², the new radius r' = √(1.5) * r.
Q10
Hard
A circle's circumference is 62.83 cm. What is the area of the circle?
A. 100 cm²
B. 123.5 cm²
C. 75 cm²
D. 150.5 cm²
Show Answer & Explanation
Correct Answer: B
Using the circumference formula C = 2πr, we first find the radius. Then, we apply the area formula A = πr² to find the area.

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Areas Related to Circles — Class 10 Mathematics Practice Questions Online

This page contains 650 practice MCQs for the chapter Areas Related to Circles in Class 10 Mathematics. The questions are organized by difficulty — 284 easy, 269 medium, 97 hard — so you can choose the right level for your preparation.

Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit. This chapter covers 3 topics, giving you comprehensive coverage of the entire chapter.