If the perimeter and the area of a circle are numerically equal, then the radius of the circle is

(A) 2 units

(B) π units

(C) 4 units

(D) 7 units

Asked by Pragya Singh | 1 year ago |  90

#### 1 Answer

##### Solution :-

Right answer is  (A)  2 units

Given that,

the circumference and the area of the circle are equal.

Let the radius (to be found) of the circle be r

Thus,

Circumference of circle = 2πr and

Area of circle = πr2

According to given condition,

2πr = πr2

2= r

Therefore, the radius of the circle is 2 units.

Hence, the correct answer is A.

Answered by Abhisek | 1 year ago

### Related Questions

#### Prove that the area of a circular path of uniform width hsurrounding a circular region of radius r is πh(2r + h).

Prove that the area of a circular path of uniform width hsurrounding a circular region of radius r is πh(2r + h).

Class 10 Maths Areas Related to Circles View Answer

#### A road which is 7 m wide surrounds a circular park whose circumference is 352 m. Find the area of the road.

A road which is 7 m wide surrounds a circular park whose circumference is 352 m. Find the area of the road.

Class 10 Maths Areas Related to Circles View Answer

#### The outer circumference of a circular race-track is 528 m. The track is every­where 14 m wide.

The outer circumference of a circular race-track is 528 m. The track is every­where 14 m wide. Calculate the cost of levelling the track at the rate of 50 paise per square metre

Class 10 Maths Areas Related to Circles View Answer

#### A circular pond is of diameter 17.5 m. It is surrounded by a 2 m wide path.

A circular pond is of diameter 17.5 m. It is surrounded by a 2 m wide path. Find the cost of constructing the path at the rate of ₹25 per square metre (Use π = 3.14)

Class 10 Maths Areas Related to Circles View Answer

#### A path of width 3.5 m runs around a semi­circular grassy plot whose perimeter is 72 m.

A path of width 3.5 m runs around a semi­circular grassy plot whose perimeter is 72 m. Find the area of the path.

Class 10 Maths Areas Related to Circles View Answer