Math, asked by diwanshmanhas, 2 months ago

find area of quadrant of a circle whose circumference is 22cm​

Answers

Answered by Sanvi1311
6

Answer:

Area  \: of \: quadrant =  \frac{1}{4}  \times area \: of \: circle \\  =  \frac{1}{4}  \times (\pi \: r ^{2} )

It  \: is \:  given \:  that  \\ </p><p> Circumference = \: 2\pi \: r \\ 22 = 2\pi \: r \\  \frac{22}{2}  = \pi \: r \\ 11 = \pi \: r \\  \frac{11}{\pi}  = r \\ r =  \frac{11}{\pi }  \\ r =  \frac{11}{ \frac{22}{7} }  \\ r = 11 \times  \frac{7}{22}  \\ r =  \frac{7}{2} cm

Now  \: area  \: of  \: quadrant =  \frac{1}{4}  \times area \: of \: circle \\  =  \frac{1}{4} (\pi \: r ^{2} ) \\  =  \frac{1}{4}  \times  \frac{22}{7}  \times (  \frac{7}{2} ) ^{2}  \\  =  \frac{1}{4}  \times  \frac{22}{7}  \times  \frac{7 \times 7}{2 \times 2}  \\  =  \frac{1}{2}  \times  \frac{11}{1}  \times  \frac{7}{4}  \\  \frac{77}{8}  \: cm ^{2}

Hope it helps uhh

Answered by rohithkrhoypuc1
0

Answer:

77/8cm square is the answer for the question

Refer the attachment

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