The logo for a new company is a circle divided into 16 equally sized sectors. Four of the sectors are white, and the others are different colors.
The area of one of the white sectors is 3π/28 inches squared.
What is the radius of the circle? Enter your answer rounded to the nearest hundredth.
Note that the white sectors comprise 4/16 = 1/4 of the area of the circle
So... 4 * ( 3pi/28 ) = 12pi/28 = 3pi/7 = the area of the circle in square inches
Area = pi * radius^2
So
3pi/7 = pi * radius^2 divide out pi
3/7 = radius^2 take the positive root
√[ 3/7] = radius ≈ 0.65 in