Answer:
- The radius is 5.5 feet.
- The area of the whole circle is A = (5.5) squared pi.
- The area of the shaded region can be found by multiplying the area of the whole circle by three-fourths as in A = three-fourths (pi times r squared).
Step-by-step explanation:
Given that the circle has diameter 11 feet, then the radius of the circle is
[tex] \frac{diameter}{2} = 5.5feet[/tex]
The area of the circle is found using
[tex]A=\pi {r}^{2} [/tex]
When we substitute the radius we obtain:
[tex]A=5.5 ^{2} \pi[/tex]
Since three-quarters of the circle is shaded, the area of the shaded region can be found by multiplying the area of the whole circle by three-fourths as in A = three-fourths (pi times r squared).
