Question

Find both the area and circumference of a circle with

a) radius of 12 inches b) diameter of 25 centimeters

I NEED ANSWER!!

Answer 1

A) Area of circle is 452.16 square inches and circumference of circle is 75.36 inches

B) Area of circle is 490.625 square centimeters and circumference of circle is 78.5 cm

Solution:

The area of circle is given as:

`area = \pi r^2`

Where "r" is the radius of circle

The circumference of circle is given as:

`c = 2 \pi r`

Where "r" is the radius of circle

a) radius of 12 inches

r = 12 inches

Substitute r = 12 and
`\pi = 3.14` in area formula

`area = 3.14 * (12)^2\\\\area = 3.14 * 144 = 452.16`

Thus area of circle is 452.16 square inches

Substitute r = 12 and
`\pi = 3.14` in circumference formula

`c = 2 * 3.14 * 12 = 75.36`

Thus circumference of circle is 75.36 inches

b) diameter of 25 centimeters

diameter = 25 cm

We know that,

`radius = (diameter)/(2)`

`radius = (25)/(2) = 12.5`

Thus radius is 12.5 cm

Substitute r = 12.5 and
`\pi = 3.14` in area formula

`area = 3.14 * (12.5)^2\\\\area = 3.14 * 156.25 = 490.625`

Thus area of circle is 490.625 square centimeters

Substitute r = 12.5 and
`\pi = 3.14` in circumference formula

`c = 2 * 3.14 * 12.5 = 78.5`

Thus circumference of circle is 78.5 cm