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If the circumference of a circle is half the area, what is the radius of the circle?

1 Answer

Gaya3 · Alan P.

Sep 30, 2017

$4$ $4$ $units$ $"units"$

Explanation:

Area of Circle $= 2 π r$ $= 2pir$
Circumference of Circle $= π r^{2}$ $=pir^2$

By the question,
$2 π r = \frac{π r^{2}}{2}$ $2pir=(pir^2)/2$

Now, Cross-Multiplying...
$=2*2*cancel(pi*r)=cancel(pi*r)*r$
$=>r=2*2$
$=>r=color(blue)4$ $"units"$

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