MTH 108: 5.1 Review Problems
1. Find the length of the arc subtended by an angle of
20ยฐ
in a circle with radius 10
๐๐.
20
180
(
10
)
๐ = 10๐
9.๐๐
2. Find the area of a circular sector of a circle with
๐ = 4.๐๐
and central angle
45ยฐ
.
1
2
2
๐
4
3
4!= 2๐.๐๐!
3. The area of a circular sector is 16
๐๐!
. The radius of the circle is 4 cm. Find the central
angle.
16 =1
2๐(16)
๐ = 2.๐๐๐๐๐๐๐
4. When are you getting more pizza? If you get one slice of a 16-inch pizza and the pizza
was cut into 12 (equal) slices or if you get one slice of 14-inch pizza that was cut into 8
(equal) slices.
1
12 ๐8!=
16
3๐
1
8๐7!=
49
8๐
One slice of 14-inch pizza