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Question

Answers

(A) \[2\] units

(B) $\pi $ units

(C) $4$units

(D) $7$units

Answer
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Perimeter or Circumference of the circle is the measurement of the boundary of the circle. If we open a circle and make a straight line out of it, then its length is the circumference.

Area of the circle is the region enclosed by the circle itself or the space covered by the circle. The formula to find the area of the circle is; $A = \pi {r^2}$, where $r$ is the radius of the circle.

According to the question,

Perimeter of the circle=Area of the circle

Perimeter of the circle=$2\pi r$

Area of the circle=$\pi {r^2}$

Now equating both we get,

Perimeter of the circle=Area of the circle

$ \Rightarrow $$2\pi r$=$\pi {r^2}$

Simplifying it we get,

$ \Rightarrow $$\dfrac{{2\pi }}{\pi } = \dfrac{{{r^2}}}{r}$

$ \Rightarrow $$r = 2$cm

The radius of the circle is given as $2cm$ if perimeter and area of circle area numerical.