Question

What is the area of a sector with a central angle of 255 and a radius of 18.4 m?

Use 3.14 for pi and round your final answer to the nearest hundredth.

Enter your answer as a decimal in the box.

Answer 1

The answer is 753.01 m².

Explanation:

Given that the formula of sector is θ/360×π×r² where r represents radius of circle. Then, you have to substitute the values into the formula :

`area = (θ)/(360) * \pi * {r}^(2)`

Let θ = 255°

Let π = 3.14,

Let r = 18.4m,

`area = (255)/(360) * 3.14 * {18.4}^(2)`

`area = 753.01 {m}^(2) \: (near.hundredth)`