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Find the Radius of a Circle Whose Perimeter and Area Are Numerically Equal. - Mathematics

Sum

Find the radius of a circle whose perimeter and area are numerically equal.

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Solution

Let the radius of the required circle be r.
Now, Area of circle = Perimeter of the circle

⇒ πr2 = 2π × r

⇒ r2 = 2r 

⇒ r2 - 2r =0

⇒ r(r - 2) = 0

⇒ r - 2 = 0     [∴ r ≠ 0]

⇒ r = 2 units 

Hence, the radius of the circle is 2 units.

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APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 18 Area of Circle, Sector and Segment
Exercise 18A | Q 10 | Page 819
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