Question

A circle and square have the same perimeter. The side of the square is 22cm. What is the area of the circle

Answer 1

The answer of the question will be 616cm²

Answer 2

Step-by-step explanation:

$side \: ofsquare = 22cm$

$perimeter \: of \: square = 4 \times side$

$= 4 \times 22 \\ = 88 cm \\since \: perimeter \: of \: square = circumference \: of \: the \: circle$

$88cm = circumference \: of \: the \: circle$

$circumference \: of \: circle = 2\pi \: r$

$88 = 2 \times \frac{22}{7} \times r \\88 = \frac{44}{7} \times r$

$\frac{88 \times 7}{44} = r$

$14 = r$

$now \: we \: have \: radius = 14\\ area \: of \: circle \: = \pi {r}^{2}$

$= \frac{22}{7} \times 14 \times 14 \\ =22×28$

${616cm}^{2}$

area is 616cm^2

hope it helps u

please mark me as brainliest