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Solution:
Given that the perimeter and area of the circle are numerically equal.
Let's assume a circle of radius 'r'.
Circumference of the circle = 2πr
Area of circle = πr2
The circumference of the circle and the area of the circle are equal.
Thus, we have 2πr = πr2
2 = r
Therefore, the radius of the circle is 2 units. Hence, the correct answer is A.
☛ Check: NCERT Solutions for Class 10 Maths Chapter 12
Video Solution:
NCERT Solutions Class 10 Maths Chapter 12 Exercise 12.1 Question 5
Summary:
The radius of the circle is 2 units if the perimeter and the area of a circle are numerically equal.
☛ Related Questions:
Math worksheets and
visual curriculum
If circumference and area of a circle are numerically equal, then the diameter of the circle is 4 units.
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