Area of Circle Sectors Quiz (First&Last Name) Due Friday 4/3

1. In the diagram below, circle O has a radius of 10. If $$
m\angle AOB=72^om∠AOB=72 degrees, find the area of shaded sector AOB, in terms of  $\pi$ .

•  $10\pi$  

•  $20\pi$  

•  $40\pi$  

•  $50\pi$  

 2. Determine and state, in terms of $$\pi$$ , the area of a sector that intercepts a 40° arc of a circle with a diameter of 9 centimeters.   [BE CAREFUL: DIAMETER]

•  $9\pi$  

•  $18\pi$  

•  $1.125\pi$  

•  $2.25\pi$  

3.A circle with a diameter of 10 cm and a central angle of 30° is drawn below. What is the area, to the nearest tenth of a square centimeter, of the sector formed by the 30° angle? [BE CAREFUL: DIAMETER]

• 5.2

• 6.5

• 13.1

• 26.2

4. What is the area of a sector of a circle with a radius of 8 inches and formed by a central angle that measures 120°?

• $\frac{8\pi}{3}$

• $\frac{16\pi}{3}$

• $\frac{32\pi}{3}$

• $\frac{64\pi}{3}$

5. Circle O with a radius of 9 is drawn below. The measure of central angle AOC is 120°. What is the area of the shaded sector of circle O?  [Be Careful with the ANGLE you use]

• $6\pi$

• $12\pi$

• $27\pi$

• $54\pi$

6. In the diagram below of circle O, $$GO=8$$  and  $m\angle GOJ=60^o$  . What is the area, in terms of , of the shaded region? [BE CAREFUL: with ANGLE you USE]

•  $\frac{160\pi}{3}$  

•  $\frac{64\pi}{3}$  

•  $\frac{32\pi}{3}$  

•  $\frac{16\pi}{3}$  

7.In circle B below, diameter RT, radius BE, and chord RE are drawn. If  $m\angle RBE=150^o$   and  $BE=9$  , then the area of sector EBR is

•  $3.75\pi$  

•  $6.75\pi$  

•  $33.75\pi$  

•  $37.125\pi$  

 8. In the diagram below of circle O, diameter AB and radii OC and OD  are drawn. The length of AB is 12 cm and the measure  $\angle COD$∠COD of  is 20 degrees. If  $m\angle AOC=m\angle BOD$   which equation below will find the area of sector BOD? [BE CAREFUL: with DIAMETER and the ANGLE you use]

•  $\frac{20}{360}\pi6^2$  

•  $\frac{20}{360}\pi12^2$  

•  $\frac{80}{360}\pi12^2$  

•  $\frac{80}{360}\pi6^2$  

The area of a sector of a circle with a radius measuring 15 cm is The area of a sector of a circle with a radius measuring 15 cm is  $75\pi\ cm^2$  .  What is the measure of the central angle that forms the sector?  [Work slow you are finding the angle theta]

•  $72^o$  

•  $120^o$  

•  $144^o$  

•  $180^o$  

10. In the diagram below the circle has a radius of 25 inches. The area of the unshaded sector is  $500\pi\ in^2$   .   Determine and state the degree measure of the central angle of the unshaded sector.         [Work slow you are finding the angle theta]

•  $288^o$  

•  $144^o$  

•  $72^o$  

•  $36^o$