Question:

The area of a minor sector of a circle is 3.85 cm2 and the measure of its central angle is 36°. Find the radius of the circle.

Answer:

Given area of minor sector = 3.85cm²
Measure of central angle, = 36˚
Area of sector = (/360)r²
3.85 = (36/360)×(22/7)×r²
r² = (3.85×360×7)/(36×22)
r² = (3.85×10×7)/22
r²= 12.25
r = 3.5cm
Hence the radius of the circle is 3.5cm

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The area of a minor sector of a circle is 3.85 cm2 and the measure of its central angle is 36°. Find the radius of the circle.

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