Question

A circle has a sector with area 24 /5 pi and central angle of 48 what is the area of the circle

Answer 1

36π square units

Explanation:

Here the sector area is 24/5π and the central angle of the sector is 48°.

That sector area can be expressed as:

48

-------- (area of circle) = (24/5)π (given).

360

Thus, the (area of circle) can be found by multiplying both sides of the above equation by (360/48):

(area of circle) = (360/48)((24 π/5) = (360/2)(π/5) = 36π square units