A certain recipe makes enough batter (a semi-liquid mixture of one or more grains used to prepare various foods) for exactly 8 circular pancakes that are each 10 inches in diameter. How many circular pancakes, each 5 inches in diameter and of the same thickness as the 10-inch pancakes, should the recipe make?

A. 4

B. 15

C. 24

D. 32

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Explanation: প্রথম pancake এর diameter= 10, so radius \(r_{1}=5\). Area \(A_{1} = \pi r_{1}^{2} = 25\pi\). Total batter area for 8 pancakes is \(8 \times 25\pi = 200\pi\). দ্বিতীয় pancake এর diameter= 5, so radius \(r_{2}=2.5\). Area \(A_{2} = \pi r_{2}^{2} = 6.25\pi\). Number of smaller pancakes \(= \frac{200\pi}{6.25\pi} = 32\).