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# 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 - CBSE Class 10 - Mathematics

ConceptPerimeter and Area of a Circle

#### Question

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

• 2 units

• π units

• 4 units

• 7 units

#### Solution

Let the radius of the circle be r.

Circumference of circle = 2πr

Area of circle = πr2

Given that, the circumference of the circle and the area of the circle are equal.

This implies 2πr = πr2

2 = r

Therefore, the radius of the circle is 2 units.

Hence, the correct answer is 2 units.

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#### APPEARS IN

NCERT Solution for Mathematics Textbook for Class 10 (2019 to Current)
Chapter 12: Areas Related to Circles
Ex. 12.10 | Q: 5 | Page no. 226

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Solution 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 Concept: Perimeter and Area of a Circle.
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