Question

3. What is the area of a circle whose circumference is 88 cm?
(1) 616 cm (2) 661 cm? (3) 166 cm (4) 154 cm​

Answer 1

Answer:-

(1) 616 cm ✅

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Given:-

• Circumference of a circle = 88 cm.
• Find the area of the circle.

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Solution:-

Let r cm be the radius of the circle, it's circumference is 2πr

$\large \boxed {\underline {\boxed{ \tt \: 2\pi \: r = 88 }}}\\ \\ \tt \: r = \dfrac{88 \times 7}{2 \times 22} cm\\ \\ \tt \: r = 2 \times 7 \: cm \\ \\ \tt \: r \: = \: 14 \: cm$

.

$\large \boxed {\underline {\boxed{ \tt Area \:\: \: of \: \: circle= \pi \: r {}^{2} }}}\\ \\ \tt \:Area_{(circle)} = \frac{22}{7} \times 14 {}^{2} \\ \\ \tt \: Area_{(circle)} = \frac{(22 \times 14 \times 14)}{7} \\ \\ \tt \: Area_{(circle)} = 22 \times 28 \\ \\ \tt \: Area_{(circle)} = 616 \: cm {}^{2}$

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Finale Answer:-

$\fbox\purple{ Area \: of \: circle \: is \: = \: 616 \: cm²}$