Question

given that the value of circumference of a circle is 2/3 of its area. determine the length of the radius of the circle!​

Answer 1

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Let's assume the redius of the given circle is (r).

so,

• circumference =$\sf{ 2\pi r }$
• Area =$\sf{ \pi r^{2} }$

According to the question,

circumference of a circle is 2/3 of its area.

$:\implies \dfrac{2}{3}×Area=circumference\\\\:\implies \dfrac{2}{3}×\pi r^{2}=2\pi r\\\\:\implies \pi r^{2}=2\pi r×\dfrac{3}{2}\\\\:\implies \pi r^{2}=3\pi r\\\\:\implies 3=\dfrac{\pi r^{2}}{\pi r}\\\\ :\dashrightarrow r=3$

Therefore, the length of the radius of the circle is 3 unit