Find the circumference of a circle if the area is 300 square centimeters.

Solution:

The given area of circle is 300 square centimeters

We know that the circumference of the circle is the total length or perimeter of the circle.

The formula to find the circumference of the circle is 2πr.

where, r is the radius of the circle

An area of a circle can be defined as the area occupied by the circle in a two dimensional plane.

The formula to find the area of circle is πr² or πd²/4 in square units

where, r is the radius of the circle

d is the diameter of the circle

Here, the area is given as 300 square centimeters

By comparing both equation we get ,

Area = πr² = 3.14×r² ,

Where area = 300 cm²,

r²= 300/3.14 = 95.5414

r = 9.77cm

Now lets substitute the value of r in the formula for circumference,

Circumference =2 πr

= 2 × 3.14 × 9.77

= 61.38 cm.

Therefore, the circumference of the circle is 61.38 cm.

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Find the circumference of a circle if the area is 300 square centimeters.

Summary:

The circumference of a circle if the area is 300 square centimeters is 61.38 cm.