raim19987
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find the radius of a circle having area 2464cm²​

Sagot :

28cm^2 is the answer to this

[tex]{ \bf{ \underbrace{Given :}}}[/tex]

Area of the circle = 2464 cm².

[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]

The radius of the circle.

[tex]{ \bf{ \underbrace{Solution :}}}[/tex]

[tex]\sf\orange{The\:radius \:of\:the\:circle\:is\:28\:cm.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Let "[tex]r[/tex]" be the radius of the circle.

We know that,

[tex]\sf\purple{Area\:of\:a\:circle \:=\:πr²}[/tex]

[tex]⇢ 2464 \: {cm}^{2} = \frac{22}{7} \times {r}^{2} \\\\ ⇢  {r}^{2} = 2464 \: {cm}^{2} \times \frac{7}{22} \\ \\⇢  {r}^{2} = \frac{17248}{22} \: {cm}^{2}\\ \\⇢  {r}^{2} = 784 \: {cm}^{2} \\ \\⇢ r = \sqrt{784 \: {cm}^{2} } \\ \\⇢ r = \sqrt{28 \times 28 \: {cm}^{2} } \\ \\⇢ r = 28 \: cm[/tex]

[tex]\boxed{Therefore,\:the\:radius \:"r"\:of\:the\:circle\:is\:28\:cm.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{Happy\:learning }}{\blue{!}}}}}[/tex]

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