Circles: Circumference and Area of a Circle

Area of a Circle

The area of a circle really means the area enclosed by the circle.  The area is found by multiplying π times the radius squared.
A = πr2

Example:
Find the area of a circle with radius 7 ft.

Solution:
A = πr2 = π(7)2 = 49π ≈ 153.94 ft2

 

Example:
Find the area of a circle with radius 10 in.

Solution:
r equals one-half d equals one-half times 10 equals 5
A = πr2 = π(5)2 = 25π ≈ 78.54 in2

 

Example:
Find the radius of a circle with area 113.10 cm2.

Solution:
A = πr2
113.10 = πr2   *Divide by π.
36 = r2
6 = r

The radius is 6 cm.