7. If the radius of a circle is 10 and the area of a sector is 10π, what is the
measure of the central angle?
8. Find the area of the sector, in terms
of π.
9. Find the area of the sector, in terms
of π.
120 0
9
Mixed Practice
0
10. Find the area of a sector of a circle with a central angle of 30 . The radius of
the circle is 10 cm. Leave π in your answer.
0
11. Find the length of an arc intercepted by a central angle of 60 . The radius of
the circle is 18 m. Leave π in your answer.
0
12. Find the area of a sector of a circle with a central angle of 45 . The
diameter of the circle is 16 cm. Leave π in your answer.
A
13. Find the length of AB to the nearest tenth. AO = 24 cm.
O
120 0
B
0
14. The area of a circle is 625π. If a sector of the circle has an angle of 72 ,
find the area of the sector in terms of π.
15. In the circle given, ED is the diameter and is perpendicular to chord CB.
DF = 8 cm and FE = 2 cm. Find AC, BC, m≮CAB, the length of CEB, and the
area of sector CEB (round to the nearest hundredth, if necessary).
Name: _____________________
Date: ____________
CC Geometry H
HW #12
1. P and Q are points on the circle of radius 5 cm, and the measure of arc PQ
is 72°. Find, to one decimal place, each of the following.
a.
the length of PQ
b. the area of sector POQ
2) a. Find the arc length of PQR.
b. Find the area of sector POR.
3. What is the radius of a circle if the length of a 45° arc is 9π?
4. Given circle A, find the following (round to the nearest hundredth, if
necessary).
a. circumference of circle A
45°
b. radius of circle A
c. area of sector CAD
5. A circle is divided into 6 equal sections by points A, B, C, D, E, and F. If its radius
is 15 cm., find the length ofCD to the nearest tenth.
6. In the figure, if PQ = 10 cm, find the length of QR .
7. Find the area of the entire circle given the area of the sector.
8. AB and CD both have an angle measure of 30°, but their arc lengths are not
the same. OB = 4 and BD = 2.
a.
What are the arc lengths of AB and CD?
b. What is the ratio of the arc length to the radius for both of these arcs?
Explain.
c. What are the areas of the sectors AOB and COD?
Review
9. The diameter of a soccer ball is approximately 22 cm, and the diameter of a
baseball is approximately 75 mm. The volume of the soccer ball is how many times
greater than the volume of the baseball, to the nearest integer?