Tick the correct answer in the following and justify your choice : If the perimeter and the area of a circle are numerically equal, then the radius of the circle is
NCERT Solutions for Class 10 Maths Chapter 12
Important NCERT Questions
Areas Related To Circles Class,
NCERT Books for Session 2022-2023
CBSE Board and UP Board Others state Board
EXERCISE 12.1
Page No:226
Questions No:5
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Let the radius of circle = r, Circumference of circle (perimeter) = 2πr, Area of circle = πr²
Given that the perimeter and area are equal in magnitude. Therefore
2πr = πr²
⇒ 2 = r
Therefore, the radius of circle is 2 units.
Hence, the option (A) is correct.
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