Question

The circumference of a circle is 39.6. CM. find its area​

Answer 1

Given: Circumference of the circle = 39.6 cm. We know, Circumference of circle = 2πr Where, r = Radius of the circle ⇨ 2πr = 39.6 r = 39.6/2π r = 6.3 (put value of π = 22/7) Area of the circle = πr2 Where, r = radius of the circle ⇨ Area of the circle = π(6.3)2 = 124.74 So, area of circle is 124.74 cm2.

Answer 2

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$\\ \: \qquad : \implies \displaystyle \sf{circumference \: of \: the \: circle = 2\pi \: r}$

$\: \qquad : \implies \displaystyle \sf{39.6 = 2\pi \: r}$

$\: \qquad : \implies \displaystyle \sf{ \frac{39.6}{2 \times 3.14} = r}$

$\: \: \qquad : \implies \displaystyle \sf{ \cancel \frac{39.6}{3.14} \frac{1}{2 } = r}$

$\: \: \qquad : \implies \displaystyle \sf{\dfrac{19.8}{1.57}\dfrac{1}{2}=r}$

$\ \ \qquad : \implies\displaystyle\sf{\dfrac{9.9}{1.57}}$

$\\ \qquad\implies\displaystyle\sf{6.305}$

$\\ \qquad\implies\displaystyle\sf{area=πr^2}$

$\\ \qquad\implies\displaystyle\sf{area=π(6.3)^2}$

$\\ \qquad\implies\displaystyle\sf{area=3.14\times 6.3=19.782}$