Find the area of a quadrant of a circle

Bipina Poudel

4 years ago

Find the area of a quadrant of a circle whose circumference is 22 cm?

1 Answer

Bipina Poudel

4 years ago

Circumference of the circle = 22 cm (given)

It should be noted that a quadrant of a circle is a sector that is making an angle of 90°.

Let the radius of the circle = r

As C = 2πr = 22,

R = 22/2π cm = 7/2 cm

∴ Area of the quadrant = (θ/360°) × π r²

Here, θ = 90°

So, A = (90°/360°)×π r²cm²

= (49/16) πcm²

=77/8cm²=9.6cm²

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