Question

The area of this circle is 72π m². What is the area of a 45º sector of this circle?

Answer 1

Answer:

9 \pi m^2

Step-by-step explanation:

Given that there is a circle whose area is 72pi m^2

Area of a circle = $\pi r^2 =72\pi$

We are to find the area of a sector with angle 45 degrees

We have formula for area of sector as

Area of sector = central angle* area of circle/360

Substitute the known values to get

Area of sector = $\frac{45}{360} (72\pi) = 9 \pi m^2$

Hence we get

area of sector with 45 degrees = $9 \pi m^2$

Answer 2

This angle is 45°. That is 1/8 of a whole turn (360°)

So the arc is 1/8 of the circumference.

And the sector area is 1/8 of the area of the circle.

So the area of the sector is 28.27 m²