Question

Find the radius of a circle having area 2464cm²​

Answer 1

28cm^2 is the answer to this

Answer 2

`{ \bf{ \underbrace{Given :}}}`

Area of the circle = 2464 cm².

`{ \bf{ \underbrace{To\:find:}}}`

The radius of the circle.

`{ \bf{ \underbrace{Solution :}}}`

`\sf\orange{The\:radius \:of\:the\:circle\:is\:28\:cm.}`

`\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}`

Let "
`r`" be the radius of the circle.

We know that,

`\sf\purple{Area\:of\:a\:circle \:=\:πr²}`

`⇢ 2464 \: {cm}^(2) = (22)/(7) * {r}^(2) \\\\ ⇢  {r}^(2) = 2464 \: {cm}^(2) * (7)/(22) \\ \\⇢  {r}^(2) = (17248)/(22) \: {cm}^(2)\\ \\⇢  {r}^(2) = 784 \: {cm}^(2) \\ \\⇢ r = \sqrt{784 \: {cm}^(2) } \\ \\⇢ r = \sqrt{28 * 28 \: {cm}^(2) } \\ \\⇢ r = 28 \: cm`

`\boxed{Therefore,\:the\:radius \:`

`\large\mathfrak{{\pmb{\underline{\blue{Happy\:learning }}{\blue{!}}}}}`