Question

Find the area of the circle circumference is 154 cm. ​

Answer 1

Circumference of a circle = 2πr

First we will find radius.

2 x 3.14 x r = 154

= 24.5 cm

Area = πr²

3.14 x 24.5 x 24.5

= 1884.785 cm²

Answer 2

$\huge\mathbb{SOLUTION:-}$

$\sf\underline{\blue{\:\:\:\:Given:-\:\:\:\:\:}}$

Circumference of circle =154cm

$\boxed{\sf{Circumference\:of\: circle=2\pi r}}$

$\sf\underline{\purple{\:\:\:\: Solution:-\:\:\:\:\:}}$

• First radius of circle from this

$\sf\implies 2\pi r=154\\ \\ \sf\:\: take\: \pi\:=\dfrac{22}{7}\\ \\ \sf\implies 2\times \dfrac{22}{7}\times r=154\\ \\ \sf\implies r=\dfrac{\cancel{154}\times 7}{\cancel{22}\times 2}\\ \\ \sf\implies r= \dfrac{7\times 7}{2}\\ \\ \sf\implies r=\dfrac{49}{2}cm$

• Now the Area of circle

$\boxed{\sf{Area\:of\:circle=\pi \:r{}^{2}}}$

$\sf\implies Area=\dfrac{\cancel{22}}{\cancel7}\times \dfrac{\cancel{49}}{2}\times \dfrac{49}{\cancel2}\\ \\ \sf\implies Area=\dfrac{11\times 7\times 49}{2}\\ \\ \sf\implies Area=\cancel{\dfrac{3773}{2}}\\ \\ \sf\implies Area= 1886.5cm{}^{2}$

$\boxed{\sf{Area\:of\: circle=1886.5cm{}^{2}}}$