Question

Help asap 15 points!

What is the approximate area of a sector given Θ≈212 with a radius of 45 m?

Question 1 options:

2613.59 m²


3744.45 m²


3371.26 m²


2928.36 m

What is the approximate area of a sector given Θ≈92 degrees with a diameter of 9m?

Question 2 options:

60 m²


65 m²


15.6 m²


16.2 m

Answer 1

QUESTION 1

The area of a sector is given by the formula,

`Area = (angle \: of \:sector )/(360 \degree) * \pi {r}^(2)`

We substitute the known values into the formula to get,

`Area = (212 \degree)/(360 \degree) * 3.14 * {45}^(2)`

This implies that,

Area=3744.45 m² to the nearest hundredth.

The correct answer is B.

QUESTION 2

For this second question, the angle of the sector is 92° and diameter is 9m.

The radius is obtained by dividing the diameter into two.

Thus,r=4.5m

We plug in these values to get,

`Area = (92 \degree)/(360 \degree) * 3.14 * {4.5}^(2)`

Area=16.2m² to the nearest tenth.

The correct choice is D.