Question

find the area of a circle whose circumference is 308 cm.

Answer 1

$let \: radius \: of \: the \: circle = r \\ \\ therefore \: circumference \: of \: the \: circle \\ = 2\pi \times r \\ \\ but \: given \: that \: the \: circumference \: of \: the \: circle = 308 \: cm\\ \\ therefore \: according \: to \: question \\ \\ 2\pi \times r = 308 \\ \\ = > 2 \times \frac{22}{7} \times r = 308 \\ \\ = > r = \frac{308 \times 7}{44} = 7 \times 7 = 49 \: cm \\ \\ therefore \: area \: of \: the \: circle \\ \\ = \pi \times {r}^{2} = \frac{22}{7} \times ( {49})^{2} \\ \\ = \frac{22}{7} \times 49 \times 49 \\ \\ = 22 \times 7 \times 49 \\ \\ = 7546 \: cm {}^{2} \\ \\ \\ hope \: it \: helps...$

Answer 2

Answer:7546cm^2

Step-by-step explanation:

circumference = 2πr

308cm = 2*22/7*r

308cm = 44/7 *r

r =308 ➗ 44/7

r =308 * 7/44

r =49cm

Area =πr^2

A =22/7 * 49 *49

A =7546 cm^2