Question

the circumference of a circle is 22cm. find the area of its one quadrant
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Answer 1

$\huge\bigstar\mathfrak{\bf{\underline{\underline{Answer}}}}\bigstar$

$Let \: the \: radius \: of \: circle\: is \: = `r´cm$

$circuference \: of \: circle \: = 2 \: \pi \: r$

$ㅤ ㅤㅤ ㅤㅤ ㅤ( \: Assume \: \pi = \frac{22}{7} \: )$

ㅤ ㅤㅤ ㅤ ㅤㅤ ㅤㅤ ㅤㅤ ㅤ

$ㅤ ㅤㅤ ㅤ ㅤㅤ2 \: \pi \: r = 22 \\ㅤ ㅤㅤ ㅤㅤ ㅤ 2\times \frac{22}{7} \times r = 22 \\ㅤ ㅤ ㅤㅤ r = \frac{7}{2}cm$$ㅤ ㅤㅤ ㅤArea \: of \: quadrant \: \implies \frac{\pi \: {r}^{2} }{4}$

$\implies ㅤ ㅤ ㅤㅤ ㅤㅤ \frac{22}{7} \times \frac{1}{4} \times \frac{7}{2} \times \frac{7}{2}$

$\implies ㅤ ㅤㅤ ㅤㅤ \boxed {\frac{77}{8} \: {cm}^{2} }$

$\implies \: \: \: \: \: \: \: \: \: \: \: \: \: \: \approx \: \boxed{9.625 \: {cm}^{2}}$