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The area of a circle is found by the equation A=πr^2. If the area of a certain circle is 25π square inches, find it's radius r

The area of a circle is found by the equation Aπr2 If the area of a certain circle is 25π square inches find its radius r class=

Respuesta :

Answer :

  • 5 inches.

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Given :

  • The area of a circle is 25π sq.in

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To Find :

  • The Radius.

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Solution :

We know,

[tex]{ \longrightarrow\qquad \bf\pi {r}^{2} = \bf{Area_{(Circle) } }}[/tex]

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Where,

  • r is the radius of the circle.

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Now, Substituting the values :

[tex]{ \longrightarrow\qquad \sf\pi {r}^{2} = 25 \pi }[/tex]

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Cancelling π from both sides :

[tex]{ \longrightarrow\qquad \sf \cancel\pi {r}^{2} = 25 \cancel\pi }[/tex]

[tex]{ \longrightarrow\qquad \sf {r}^{2} = 25 }[/tex]

[tex]{ \longrightarrow\qquad \sf {r}= \sqrt{25} }[/tex]

[tex]{ \longrightarrow\qquad \pmb{\bf {r}= 5 }}[/tex]

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Therefore,

  • The Radius of the circle is 5 inches .

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