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Find the area of a quadrant of a circle whose circumference is

Question

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

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Find the area of a quadrant of a circle whose circumference is

22

cm.

13 mins ago

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Text solutionVerified

Given: circumference of circle=

22 c m

Circumference of a circle

= 2 \times π \times r

\Rightarrow 22 = 2 \times π \times r

Now,

∴

r = \frac{11}{π}

\Rightarrow

Area of Quadrant

= \frac{Area of circle}{4}

\Rightarrow

Area of Quadrant

= \frac{π r ^{2}}{4} = \frac{π \times ( \frac{11}{π} ) ^{2}}{4}

\Rightarrow

Area of Quadrant

= \frac{121}{π \times 4} = \frac{121}{4 \times \frac{22}{7}}

∴

Area of Quadrant

= \frac{77}{8} c m^{2}

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Question Text	Find the area of a quadrant of a circle whose circumference is $22$ cm.
Answer Type	Text solution:1
Upvotes	150