Suppose the area of a circle is 201.0624 square feet. What's the diameter of the circle? (Use π = 3.1416.)

A. 64 square feet
B. 8 feet
C. 64 feet
D. 16 feet

Respuesta :

Answer : 16 feet

the area of a circle is 201.0624 square feet

The formula for area of the circle is [tex]\pi r^2[/tex]

Where r is the radius and value of  π = 3.1416

Given area = 201.0624

Plug the values and find out radius 'r'

area of the circle =  [tex]\pi r^2[/tex]

201.0624 =  [tex]3.1416*r^2[/tex]

Divide by 3.1416 from both sides

[tex]64 = r^2[/tex]

Take square root on both sides

r = 8

radius = 8 feet

Diameter = radius * 2= 8*2 = 16 feet

the diameter of the circle = 16 feet


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