Question

The area of a circle whose area and circumference are numerically equal, is
(a)2π sq. units
(b)4 π sq. units
(c)6π sq. units
(d)8π sq. units

Answer 1

Answer:

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

Solution:-

Given :-

Area of Circle = Circumference of the Circle.

To Find :-

Area of Triangle = ?

Find :-

Area of Circle = Circumference of the Circle.

=) πr² = 2πr

=) r² = 2r

=) r = 2 units.

Now,

Area of Circle = πr²

=) Area of Circle = π × (2)²

=) Area of Circle = 4π sq. units.

Hence,

Area of Triangle is 4π sq. units.