# If the area of a circle is 154 cm², then its perimeter is

a. 11 cm

b. 22 cm

c. 44 cm

d. 55 cm

**Solution:**

Given, __area of a circle__ is 154 cm²

We have to find the __perimeter of the circle__.

Area of a circle = πr²

Where r is the __radius of the circle__.

So, 154 = πr²

Use π = 22/7

154 = (22/7)r²

r² = 154(7)/22

r² = 7(7)

So, r = 7 cm

Perimeter of the circle = circumference

__Circumference of the circle__ = 2πr

= 2(22/7) (7)

= 2(22)

= 44 cm

Therefore, the circumference of the circle is 44 cm.

**✦ ****Try this: **If the area of a circle is 110 cm², find the radius of the circle.

Given, area of the circle is 110 cm²

We have to find the radius of the circle.

Area of a circle = πr²

Where r is the radius of the circle.

So, 110 = πr²

Use π = 22/7

110 = (22/7)r²

r² = 110(7)/22

r² = 5(7)

r² = 35

Taking __square root__,

r = √35

r = 5.916 cm

Therefore, the radius of the circle is 5.916 cm.

**☛ Also Check: **NCERT Solutions for Class 10 Maths Chapter 12

**NCERT Exemplar Class 10 Maths Exercise 11.1 Sample Problem 1**

## If the area of a circle is 154 cm², then its perimeter is a. 11 cm, b. 22 cm, c. 44 cm, d. 55 cm

**Summary:**

A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) in the plane. If the area of a circle is 154 cm², then its perimeter is 44 cm

**☛ Related Questions:**

- If θ is the angle (in degrees) of a sector of a circle of radius r, then area of the sector is a. πr . . . .
- If the sum of the areas of two circles with radii R₁ and R₂ is equal to the area of a circle of radi . . . .
- If the sum of the circumferences of two circles with radii R₁ and R₂ is equal to the circumference o . . . .

visual curriculum