Question

The circumference of a circle is 44 find the area of circle

Answer 1

Given :

• Circumference of Circle = 44 cm

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To find :

• Area of Circle?

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Solution :

☯ Let radius of Circle be r cm.

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We know that,

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$\star\;{\boxed{\sf{\purple{Circumference_{\;(circle)} = 2 \pi r}}}}$

Putting values,

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$:\implies\sf 2 \times \dfrac{22}{7} \times r = 44$

$:\implies\sf \dfrac{44}{7} \times r = 44$

$:\implies\sf r = \cancel{44} \times \dfrac{7}{ \cancel{44}}$

$:\implies\sf r = 7$

$:\implies{\boxed{\sf{\pink{r = 7\;cm}}}}\;\bigstar$

$\therefore\;{\underline{\sf{Radius\;of\;circle\;is\; \bf{14\;cm}.}}}$

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$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 7\ cm}\end{picture}$

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Now, Finding area of Circle,

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$\star\;{\boxed{\sf{\purple{Area_{\;(circle)} = \pi r^2}}}}$

$:\implies\sf \dfrac{22}{ \cancel{7}} \times \cancel{7} \times 7$

$:\implies{\boxed{\sf{\pink{154\;cm^2}}}}\;\bigstar$

$\therefore\;{\underline{\sf{Hence,\;Area\;of\;circle\;is\; \bf{154\;cm^2}.}}}$

Answer 2

Given:-

✈ Circumference of a circle = 44 cm

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To find:-

✈ Area of circle.

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Solution:-

★ Using Formula

$\boxed{\sf{\orange{Circumference~ of~ a~ circle = 2\pi r}}}$

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$\large{\tt{\longmapsto{2\pi r = 44}}}$

$\large{\tt{\longmapsto{\pi r =\dfrac{44}{2} = 22}}}$

$\large{\tt{\longmapsto{\dfrac{22}{7}\times r = 22}}}$

$\large{\tt{\longmapsto{r = 22 ×\dfrac{7}{22}}}}$

$\large{\tt{\longmapsto{Radius = 7\: cm}}}$

$\large{\tt{\longmapsto{Area =\pi r^2}}}$

$\large{\tt{\longmapsto{\dfrac{22}{7} × 7 × 7}}}$

$\large{\tt{\longmapsto{154\: cm^2}}}$

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