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Areas Related to Circles

CBSE 2026 Board Exam Set 1 (Code 30/7/1)

CBSE_BOARD_PYQ_2026_30_7_1

Grade 10

Question:

[Section A]

If the perimeter of a circle is equal to that of a square, then the ratio of their areas is:

(A) $22 : 7$
(B) $14 : 11$
(C) $7 : 22$
(D) $11 : 14$

Step-by-Step Solution

Key Concept: $2\pi r = 4a \Rightarrow a = \pi r / 2$. Ratio $= \dfrac{\pi r^2}{(\pi r / 2)^2} = \dfrac{4}{\pi} = \dfrac{4 \times 7}{22} = \dfrac{14}{11}$.

Sol. (B) $14 : 11$. [1.0 Mark]

Correct Answer: (B) $14 : 11$

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