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Find the radius of a circle that has a sector area of 15.2 ft2 and a central angle

measure of 90°

User Kevin Cook
by
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1 Answer

6 votes

Answer:

4.399231874 or radical (60.8/pi)

btw radical is square root

Explanation:

Since the area of 1/4 (90/360) of the circle is 15.2 ft^2, the area of the whole circle must be

15.2*4 = 60.8.

Now, we can work backwards to find the radius using the are formula. Let's say the radius is x.

x^2pi = 60.8

x^2 = 60.8/pi

x = radical(60.8/pi)

User Bob Ebert
by
5.1k points