Question

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


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Answer 1

The Area of the circle is 4π sq. units.

Among the given options option (b) 4π sq. units is the correct answer.

Step-by-step explanation:

Given :

Circumference of the circle = Area of the circle

2πr = πr²

2r = r²

2 = r²/r

2 = r

r = 2 units

Radius of the circle ,r = 2 units

Area of circle , A = πr²

A = π × 2²

A = 4π sq. units

Hence,the Area of the circle is 4π sq. units.

HOPE THIS ANSWER WILL HELP YOU….

Answer 2

Answer:

Let r  be the radius of the circle 

Now area of circle = circumference of circle 

πr2=2πrrr2=π2πr=2 

Diameter of circle =2r=4 units