the central angle of a sector is 72 and the sector has an area of 5 pi. find the radius.
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Answer:
Step-by-step explanation:
Area of a sector is:
1
2
r
2
θ
θ
measured in radians.
72
o
=
2
π
5
So:
1
2
r
2
(
2
π
5
)
=
5
π
r
2
=
10
π
2
π
5
=
25
⇒
r
=
√
25
=
5
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