Circles Review

Arc Length/Sector Area

100

7. The radius of the circle is 3 inches.  What is the area of a sector bounded by a 180^o arc?

What is sector area=14.1?

200

15. A circle for a game spinner is divided into three regions as shown.  Line RP is a diameter.  What is the area of the shaded sector ROS if line RP=8?

What is sector area=18.8?

300

Double Jeopardy!!

5. a. In circle T, arc KL is highlighted.  Angle KTL measures 120^o.  What fraction of the circle is highlighted?

b. Which expression represents the length of arc KL in inches?

What is 120/360 or 1/3 and 1/3(10pi)?

Equations

100

Double Jeopardy!!

12.a. Circle K is centered at K(-1,3) and passes through P(2,1). How long is the radius of circle K?

b. Does F(-4,5) lie on circle K?

What is a. the sqrt(13) or 3.61, b. Yes?

200

13. Write the equation for the circle with radius 3 centered at the (-9, 4).

What is (x+9)²+(y-4)²=3²?

300

14. Write the equation of the circle in number 14.

What is x²+y²=6²?

Circumference/Area

100

1. Find the radius, circumference, and area of the circle in number 1.

What is radius=11, C=69.1, A=380.1?

200

2. Find the radius, circumference, and area of the circle in number 2.

What is radius=3, C=18.8, A=28.3?

300

3. Find the diameter, circumference, and area of the circle in number 3.

What is diameter=38, C=119.4, A=1134.1?

Central/Inscribed Angles

100

Double Jeopardy!!

4.a. What is the measure of arc EF?

b. What is the measure of angle HG?

What is arc EF=140^o, and angle HG=120^o?

200

10. What is the measure of angle SRT?

What is angle SRT=36^o?

300

11. What is the measure of angle TSU?

What is angle TSU=116^o?

Tangency

100

8. Line QS is tangent to point P.  What is the measure of angle S?

What is 32^o?

200

9. Line SQ=10in and circle P has a radius of 3.  What is the length of line ST?

What is sqrt(136) or 11.6?

300

(Arc Length and Sector Area)

6. The radius of a circle is 1 centimeter.  What is the length of a 135^o arc?

What is 2.4cm?