Question

Find the radius of a circle having area 616cm square.​

Answer 1

`\boxed{\sf Radius \ of \ circle = 14 \ cm}`

Given:

Area of circle = 616 cm²

To Find:

Radius of circle

Explanation:

`\sf \implies Area \ of \ circle = \pi r^(2) \\ \\ \sf \implies 616 = (22)/(7) * {r}^(2) \\ \\ \sf \implies 616 * (7)/(22) = {r}^(2) \\ \\ \sf \implies 28 * \cancel{22} * \frac{7} { \cancel{22}} = {r}^(2) \\ \\ \sf \implies 28 * 7 = {r}^(2) \\ \\ \sf \implies 196 = {r}^(2) \\ \\ \sf \implies {r}^(2) = 196 \\ \\ \sf \implies r = √(196) \\ \\ \sf \implies r = \sqrt{ {14}^(2) } \\ \\ \sf \implies r = 14 \: cm`