Question

Q.15.) The circumference of a circle when the radius is 14 cm *
A.) 88 cm
B.) 44 cm
C.) 22 cm
D.) None of these
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Answer 1

${\tt{\red{\underline{\underline{\huge{Answer= \: 88cm}}}}}}$

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$\LARGE{\bf{\underline{\underline\color{purple}{Given:-}}}}$

• $\sf\green{ Radius \: = \: 14cm}$

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$\LARGE{\bf{\underline{\underline\color{red}{Solution:-}}}}$

$\boxed{ \sf \blue{ Formula \: to \: find \: circumference \: of \: circles }}$

$\begin{gathered}\begin{gathered}: \implies \underline{ \boxed{\displaystyle \sf \bold{\: Circumference \: of \: circle \: = \: 2\pi \: r }} }\\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \: 2 \: \times \: \frac{22}{7} \: \times \: 14 \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \: 2\: × \: 22 \: × \: 2 \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \underline{ \boxed{\displaystyle \sf \bold{\: 88cm }} }\\ \\\end{gathered}\end{gathered}$

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$\boxed{ \sf \green{ So,\: the\: circumference\: of \: Circle \: = \: 88 cm}}$

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Answer 2

Given:-

• Radius of the circle is 14 cm.

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To find:-

• Circumference of the circle.

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Solution:-

★Formula used:-

$\star{\boxed{\sf{\orange{Circumference\: of\: circle = 2 \pi r}}}}$

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$\tt\longmapsto{2 \times \dfrac{22}{7} \times 14}$

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$\tt\longmapsto{2 \times 22 \times 2}$

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$\tt\longmapsto{44 \times 2}$

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$\tt\longmapsto{\boxed{\red{88\: cm}}}$

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Hence,

• the circumference of circle is 88 cm.

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Therefore,

• Option (A) is correct.

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Diagram:-

$\setlength{\unitlength}{1.2mm}\begin{picture}(50,55)\thicklines\qbezier(25.000,10.000)(33.284,10.000)(39.142,15.858)\qbezier(39.142,15.858)(45.000,21.716)(45.000,30.000)\qbezier(45.000,30.000)(45.000,38.284)(39.142,44.142)\qbezier(39.142,44.142)(33.284,50.000)(25.000,50.000)\qbezier(25.000,50.000)(16.716,50.000)(10.858,44.142)\qbezier(10.858,44.142)( 5.000,38.284)( 5.000,30.000)\qbezier( 5.000,30.000)( 5.000,21.716)(10.858,15.858)\qbezier(10.858,15.858)(16.716,10.000)(25.000,10.000)\put(5,30){\line(5,0){40}}\put(25,30){\circle*{1.5}}\put(13,26){\sf\large{d = 28 cm}}\put(25,30){\line(5,6){13}}\put(28,37){\sf\large{r = 14 cm}}\put(6,42){\sf\large{C = 88 cm}}\end{picture}$