Question

If a radius of a circle reduced by 50%, its area will be reduced by ​

Answer 1

Answer:

Area goes with the square of radius, so if we multiply the radius by . 5 we multiply the area by . 52=. 25, a reduction of 75%.

hope it helps uh :)

Answer 2

${\huge{\bf{\orange{Solution-:}}}}$

$\blue\implies$ $\sf75$%

${\huge{\bf{\orange{Explanation-:}}}}$

${\bf{\green{Let~Original~Radius=R}}}$

${\bf{\blue{New~Radius-:}}}$

$\sf\frac\green{50}\green{100}$$\small\sf\green{R}$ = $\sf\frac\green{R}\green{2}$

${\bf{\blue{Original~area-:}}}$

$\sf\green{πR^2}$

${\bf{\green{New~area}}}$ = $\sf\green{π}$($\sf\frac\green{R}\green{2}$)$\green{^2}$ = $\sf\frac\green{πR^2}\green{4}$

${\bf{\blue{Decrease~in~area-:}}}$

($\sf\frac\green{3πR^2}\green{4}$ × $\sf\frac\green{1}\green{πR^2}$ × $\small\sf\green{100}$)%

$\blue\implies$ $\sf\green{75}$%

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