karlamarie
karlamarie karlamarie
  • 12-03-2020
  • Mathematics
contestada

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

Respuesta :

altavistard
altavistard altavistard
  • 17-03-2020

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

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