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

Answer:

The answer is 753.01 m².

Step-by-step 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 :

$area = \frac{θ}{360} \times \pi \times {r}^{2}$

Let θ = 255°

Let π = 3.14,

Let r = 18.4m,

$area = \frac{255}{360} \times 3.14 \times {18.4}^{2}$

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