18. The perimeter of a sector of a circle is equal
to half the circumference of the circle. The
angle of the sector is:
Answers
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Step-by-step explanation:
ANSWER
Perimeter of sector OPQ=
2
1
×2πr
⇒
360
0
θ
×2πr+2r=πr
⇒
360
0
θ
=
2πr
(π−2)r
⇒θ=
2π
−360
0
(π−2)
=
π
180(π−2)
degree
⇒θ=
π
180
0
(π−2)
×
180
0
π
=(π−2)radians
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