Question

A sector of a circle has a central angle of 80°. If the circle has a radius of 5.5 inches,what is the area of the sector? (pi = 3.14) *

Answer 1

Answer:

$area = 21.11 ~in.^2$

Step-by-step explanation:

Area of sector of circle with central angle measuring n degrees and radius r:

$area = \dfrac{n}{360^\circ}\pi r^2$

$area = \dfrac{80^\circ}{360^\circ} \times 3.14 \times (5.5~in)^2$

$area = \dfrac{80^\circ}{360^\circ} \times 3.14 \times (5.5~in)^2$

$area = 21.11 ~in.^2$