Answer:
36π square units
Step-by-step 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