Question

Circumference of a semicircle is 108 cm.Find the circumference of a circle whose radius is equal to diameter of the semi circle

Answer 1

The circumference of the circle is 432 cm

Explanation:

Formula : Circumference of a circle = $2\pi r$ , wher r is the radius of the circle.

Circumference of semicircle =$\pi r$

Given : Circumference of a semicircle is 108 cm.

i.e. $\pi r=108\\\\ r=\dfrac{108}{\pi}$

Diameter of semicircle = 2r= $2(\dfrac{108}{\pi})=\dfrac{216}{\pi}$ cm

Now , radius of new circle = Diameter of semicircle $=\dfrac{216}{\pi}$ cm

Circumference of circle = $2\pi r= 2\pi \times\dfrac{216}{\pi} = 432\ cm$

Hence, the circumference of the circle is 432 cm.

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