Question

Area of a circle is 154cm2,find its circumference.​

Answer 1

Answer:

Area of a circle is 154sq. cm, then its circumference is 44 cm.

Step-by-step explanation:

Given: Area of circle = 154 sq. cm

Find: The circumference of a circle.

Step 1: Find the radius of the circle by using the area of the circle.

Area of circle =$\pi r^2$

$\frac{22}{7} \times r^2 = 154\\r^2 = 154 \times \frac{7}{22} \\r^2 = 7 \times 7\\r = 7 cm$

Step 2; Find the circumference of the circle by using the radius of a circle.

circumference of the circle = 2× π× r

= 2 × 22/7 × 7

= 2 × 22

= 44 cm

So, the circumference of the circle is 44 cm.

Answer 2

Answer:

Circumference of circle =  44 cm

Given:

Area of circle = 154 cm²

To find:

Circumference of the circle

Solution:

To find the circumference of the circle, we must first find the value of r.

We can find the "r" using the formula and value of thearea of the circle

Area of circle = πr² = 154

The value of π = 22/7

By applying values to the formula,

22/7× r² = 154

By seperating the known and unknown terms together

r²= 154× 7/22

r²= 49

Taking square root on both the sides,

r = 7

Circumference of circle = 2πr = 2×22/7×7

The Circumference of the circle = 44 cm