Question

The area of this circle is 72π m².

Answer 1

The area of the sector will be 9π m².

We know, area of circle is given as πr², where r is the radius of the circle.
Here Area of circle,C = 72π m²

Area of a sector that subtends an angle 45° at the center (the area shaded in yellow color) is given as:

    A = 72$\pi m^{2}$×$\frac{45}{360}$
⇒ A = 45× $\frac{1}{5}$π m².
⇒ A = 9π m².

Answer 2

The answer is 1/8 of the total circle area or 9 pi m2