Question

Find the diameter of a circle with an area of 804.25^2 cm.

Answer 1

`Diameter=2√(256.13) cm`

Explanation:

Area of a circle=
`\pi r^2`

As,

`\pi =(22)/(7)=3.14`

For,

`Area= 804.25cm^2`

`804.25=\pi r^2`

`804.25=3.14*r^2\\\\`

Dividing by '3.14' both sides:

`804.25/3.14=r^2`

`r^2=256.13\\\\r=√(256.13) \\`

Diameter of a circle= 2*r

`Diameter=2√(256.13) cm`