if a circle is divided into six congruent sectors and each sector had the area of 5pi, what is the radius of the circle?

Question

answer choices:

 

a. 5.5

b. 60

c. 30

d. 3

e. 6

Answer 1

The formula for the area of a circle is:

 

     A = pi*radius²

 

Since the circle is divided into six congruent sectors, each of which has an area of 5pi, the total area of the circle is 6*5pi = 30pi:

 

     A = pi*radius²

     30pi = pi*radius²

     30 = radius²

 

Use your calculator to solve for the radius.