23 July, 18:01
A sector with an area of 140 pi cm2 has a radius of 20cm
What is the central angle measure of the sector in degrees?
23 July, 19:41
Answer: The central angle measure is 126°
The circle has a radius of 20cm
The area of a sector of a circle of an angle A is:
Area = (A/360°) * pi*r^2
where r is the radius.
Here we have that the area is (140*pi) cm^2
let's find the value of A.
(140*pi) cm^2 = (A/360) * pi * (20cm) ^2 = (A/360) * pi*400cm^2
140 cm^2 = (A/360) * 400 cm^2
A = (140/400) * 360° = 126°
The central angle measure is 126°
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» A sector with an area of 140 pi cm2 has a radius of 20cm What is the central angle measure of the sector in degrees?