The perimeter of a sector of the circle of area 25π sq.cm is 20 cm. Find the area of sector.
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The perimeter of a sector of the circle of area 25π sq.cm is 20 cm. Find the area of sector.
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Answer:
=25 cm^2
Step-by-step explanation:
since area of circle=25π sq.cm
⇒πr
2
=25π
⇒r=5cm
and perimeter of sector=20 cm
⇒2r+s=20
⇒2.5+s=20
⇒s=10 cm
where s = arc lenth of sector
∵θ= s/r =10/5=2
area of sector= θ/360° *πr^2
=2/2π*π5^2
= 25 cm^2
hope this helps u...