Answer:
Area_sector = 9.8 square inches
Explanation:
A sector is a piece of a circle. Like a pie slice. We can use the angle given to find out what fraction of the circle we are looking for.
There are 360° in a circle. The sector is 125°. So the fraction of the circle we are looking for is (125/360) Of course this can be reduced, but we should just let the calculator handle it.
Now, the area of the whole circle is:
A = pi•r^2
A = pi • 3^2
The radius is given. r = 3
A = 9pi
They said to use 3.14 for pi
A = 28.26
This is the area of the whole circle, so we need to multiply by that fraction to find the area of the pie slice (sector)
Area_sector =
(125/360)28.26
= (0.3472222)28.26
= 9.8125
Round to the nearest tenth.
~= 9.8