Question

The area of a circle 616 cm .Find it's diameter​

Answer 1

Area of circle = π r²

But also given that area = 616 cm²

⟹ π r² = 616 cm²

$\sf{\implies\: {\dfrac{22}{7}}\: \times\: r^2\: =\: 616}$

$\sf{\implies\: r^2\: =\: {\dfrac{616\: \times\: 7}{22}}}$

$\sf{\implies\: r^2\: =\: 196}$

$\sf{\implies\: r\: =\: \sqrt{196}}$

$\sf{\implies\: r\: =\: \bold{14}}$

Diameter = 2r = 2 × 14 = 28 cm

Answer 2

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Area Of circle = 616 cm²

Formula of area of circle = πr² = 616

${r}^{2} = \frac{616 \times 7}{22}$

${r}^{2} = 28 \times 7$

${r}^{2} = 196$

$r = \sqrt{196}$

$r = 14$

____________________________

$\longrightarrow$ Diameter or circle = 2r

$\longrightarrow$ 2 × 14

$\longrightarrow$ 28 cm

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