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futureauthor084 futureauthor084
  • 07-02-2017
  • Mathematics
Answered

find the meaure of the central angle the sector area is 169.56 and the radius is 9

Verified Answer :

Jedimaster13
Jedimaster13 Jedimaster13
  • 07-02-2017

Since the area of a circle is π\(r^{2}\), and our radius is 9 we know the total area to be 254.469, and the ratio of sector area to total area is 169.56/254.469 = .6663. There are 360 degrees in a circle, so: \(c = 360(.6663)\) ≈ 240°

240 degrees

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