Question

please solve this question ​

Answer 1

Step-by-step explanation:

perimeter of square = 4 x side

= 4 x 27.5

= 110 cm

circumference of circle = 2πr

110 = 44/7 r

7/44 x 110 = r

1.75 cm = r

Area of circle = πr²

= 22/7 x 1.75²

= 9.62 cm²

Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Area\:of\:circle=962.5\:cm^{2}}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies Side \: of \: square = 27.5 \: cm \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: \implies Area \: of \: circle = ?$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: \implies Perimeter \: of \: square = 4 \times side \\ \\ \tt: \implies Perimeter \: of \: square =4 \times 27.5 \\ \\ \green{\tt: \implies Perimeter \: of \: square =110 \: cm} \\ \\ \bold{For \: circle : } \\ \tt: \implies Perimeter \: of \: square =Perimeter \: of \: circle \\ \\ \tt: \implies 110 =2\pi r \\ \\ \tt: \implies \frac{110 \times 7}{2 \times 22} = r \\ \\ \green{\tt: \implies r = \frac{35}{2} } \\ \\ \bold{For \: area \: of \: circle} \\ \tt: \implies Area \: of \: circle = \pi {r}^{2} \\ \\ \tt: \implies Area \: of \: circle = \frac{22}{7} \times \frac{35}{2} \times \frac{35}{2} \\ \\ \tt: \implies Area \: of \: circle = \frac{1925}{2} \\ \\ \green{\tt: \implies Area \: of \: circle =962.5 { \: cm}^{2} }$