Answer:
So the center takes up 4% of the whole target.
Step-by-step explanation:
Since both the center and the target are circles and we want to compare then we first need to find their area. The area of a circle is given by the formula bellow:
area = π*r²
Where r is the radius that is half the diameter.
For the whole target we have:
area_target = π*(15/2)² = π*(7.5)² = π*56.25 square inches
For the center:
area_center = π*(3/2)² = π*(1.5)² = π*2.25 square inches
In this case since we want to compare the areas we won't multiply the value of π since that would increase the error of our results. Now that we have both areas we need to calculate how many percents does the center takes from the whole target. For that we can use a rule of three, such as:
π*56.25 -> 100%
π*2.25 -> x %
(π*56.25)/(π*2.25) = 100/x
(56.25)/(2.25) = 100/x
56.25*x = 100*2.25
x = 225/56.25 = 4
So the center takes up 4% of the whole target.
