Question

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

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Answer 1

Answer:

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Formulas used =

1. Circumference = 2 pie r

2. Area of Quadrant = 1/4 Pie r²

Circumference = 2 Pie r

22 = 2 * 22/7 r

r = 22 * 7 / 22 * 2

r = 7/2 or 3.5 cm

Area Of Quadrant = 1/4 Pie r²

= (1/4) * (22/7 ) * 3.5* 3.5

= 1 * 22 * 35 * 35 / 4 * 7 * 10 * 10

= 1 * 11 * 35 / 4 * 10

= 9.625 cm²

Step-by-step explanation:

I hope it's helpful for you.

Answer 2

Step-by-step explanation:

Given: Circumference of a circle = 22cm

⇒ 2πr = 22

⇒ 2 x 22/7 x r = 22

⇒ 2r = 7

⇒ r = 7/2 cm

Now, we have to find the area of Quadrant

Area of quadrant= 1/4πr²

=1/4×22/7×7/2×7/2

=11×7/8

= 9.625cm²