Question

the area of a sector of a circle is 1/10of the area of the circle.Find the angle of the sector.

Answer 1

Angle of sector

Step-by-step explanation:

Given:

Area of sector = 1 / 10 × The area of the circle

Radius = r

$\theta$ = Angle of sector

Computation of Angle of the given sector :

Area of sector = 7/20 × The area of the circle

So,

$\frac{\theta}{360}\pi r^2 = \frac{1}{10} \pi r^2\\\\\frac{\theta}{360}= \frac{1}{10} \\\\\theta = \frac{360}{10} \\\\\theta = 36$

$\theta$ = 36°

Therefore, the Angle of the sector is 210°

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