Math, asked by vishnu7473, 1 year ago

find the area of the quadrant of a circle whose circumference is 44cm

Answers

Answered by Anonymous
9
hey mate here is ur answer

38.5 cm square
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Answered by Anonymous
29

Given,

\sf{Circumference\:of\:the\:circle\:is\:44\:cm}

To find,

\sf{Area\:of\:quadrant}

Solution,

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

\sf{Let\:the\:radios\:of\:the\:circle\:be\:r}

  • As,

\large{\sf{C=2πr=44}}

\large\sf{⇒R=\frac{44}{2π}\:cm}

\large\sf{⇒ R=7\:cm}

  • So,

\bf{Area\:of\:the\:quadrant,}

\sf{=  \frac{θ}{360°} ×πr^2}

Here, θ = 90°

  • So,

\sf\large{A=\frac{90°}{360°}×πr^2\:cm^2}

\sf\large{=\frac{1}{4}×π (7)^2\:cm^2}

\sf\large{=\frac{1}{4}×π×7×7\:cm^2}

\sf\large{=\frac{1}{4}×\frac{22}{7}×7×7\:cm^2}

\sf\large{=\frac{77}{2}\:cm^2}

\sf\large{=38.5\:\:cm^2}

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 \large{ \underline{ \overline{ \mid{ \rm{ \red{Answer→38.5\:\:cm^2}} \mid}}}}

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