Question

Find the area of a sector of a circle and length of minor arc of radius 21 cm and central angle 120 degree

Answer 1

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Answer 2

Given:

Radius of the circle = 21cm

Central angle = 120°

To Find:

Area of a sector of a circle

Solution:

Area of the sector of a circle = Angle degree/360° x πr²

Since r = 21 cm and the central angle = 120°

Substituting the values -  

= 120°/ 360° x 22/7 x 21²

= 1/3 x 22/7 x 21 x 21

= 22 x 21 x21 / 7 x 3

= 22 x 21

= 462

Answer: The Area of a sector of a circle is 462 cm²