Question

find the area of the entire circle if the area of the sector is 227 cm^2 and the measure of are LM =70 degrees

Answer 1

Given the figure of the circle N

The area of the sector = 22.7 cm²

The measure of the arc LM = 70°

We will find the area of the circle (A) using the ratio and proportion:

Area of the circle : Area of the sector

360° : 70°

A : 22.7

Using the cross product to find (A):

`A=(360°)/(70°)*22.7=116.742857`

Rounding to the nearest tenth.

So, the answer will be: Area of the circle = 116.7 cm²