Find both the area and circumference of a circle with
a) radius of 12 inches b) diameter of 25 centimeters

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:

Where "r" is the radius of circle

The circumference of circle is given as:

Where "r" is the radius of circle

a) radius of 12 inches

r = 12 inches

Substitute r = 12 and in area formula

Thus area of circle is 452.16 square inches

Substitute r = 12 and in circumference formula

Thus circumference of circle is 75.36 inches

b) diameter of 25 centimeters

diameter = 25 cm

We know that,

Thus radius is 12.5 cm

Substitute r = 12.5 and in area formula

Thus area of circle is 490.625 square centimeters

Substitute r = 12.5 and in circumference formula

Thus circumference of circle is 78.5 cm

answer

explanation

the area of a circle is calculated using the formula

or

we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is

we substitute the diameter into the formula to get:

this is the exact value for the area of the circle.

the correct answer is a

d

step-by-step explanation:

d