Question

The area of a circle is 64πcm2, how do you find its radius?

Answer 1

Given That :-

Area of the circle is $64 \pi cm^{2}$

We need to find the Radius of the circle.

$\rule{200}{2}$

We know that :-

Area of circle is equal to :-

$\boxed{ \bold{ \red{\pi {r}^{2}}}}$

$\rule{200}{2}$

So,

Applying the formula we get :-

$\pi {r}^{2} = 64\pi \\ \\ \implies {r}^{2} = 64 \\ \\ \implies r = \sqrt{64} = 8cm$

$\rule{200}{2}$

Hence,

The radius of that circle is equal to 8 centimeters.

$\rule{200}{2}$

Answer 2

Area of Circle Given=64πcm²

Formula For Finding Area of A circle=πr²

Where

$\pi = \frac{22}{7} \\ \\ r = radius$

Now given Area =64 πcm²

πr²=64πcm²

$\frac{22}{7} \times {r}^{2} = 64 \times \frac{22}{7} \\ \\ {r}^{2} = 64 \times \frac{22}{7} \times \frac{7}{22} \\ \\ {r}^{2} = 64 \\ \\ r = \sqrt{64} \\ \\ r = \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 2} \\ \\ r = 2 \times 2 \times 2 \\ \\ r = 8$

Radius=8 cm