CHAPTER 11 POST TEST REVIEW
1. A circle has a circumference of 15, what is the arc length for a central angle of 75? Show all work!
2. Jill and Jack are running around different circular tracks. If the radius of Jill’s track is 50m and the
radius of Jack’s track is 75m how many laps will each have to run in order to complete 15,000 m?
(Round your answers to the nearest whole lap.) Show all work!
Laps for Jill __________
Laps for Jack __________
3. Find the area of the shaded region in the figure to the right.
6
2 2
4. Savannah’s favorite part of eating a slice of pizza is the crust. Her family ordered a 14 inch pizza that
was cut into 8 slices and a 16 inch pizza that was cut into 12 slices. Which pizza should Savannah
take a slice from to get the most crust? You need to provide support for your answer. (Note: Pizzas
are measured by diameter, not radius.)
5. State at least one similarity and one difference between the two figures below if AB has
the same measure in both circles.
6.
Find the measure of x and y given AB is tangent to circle C. Show All Work.
7. The radius of the large circle is 3 inches and AB is its diameter. Also, AC is tangent to the
large circle at point A. If mCD  160 and mCE  100 , find the area of triangle ABC.
160°
D
C
A
100° E
B
8. A point, X, is 3 units from • O whose radius is 12 units. If a tangent is drawn from X to
the circle, how far is X from the point of tangency?
O
X
•
•
9. Consider the two equations, A and B below:
A) x 2  y 2  81
B) x 2  y 2  100
a. If they were both graphed using the same scale, which would be the larger graph?
Be sure to state what each of the equations look like when they are graphed.
b. Justify your answer to (a) by giving a convincing and detailed argument.
10.
a.
( x  2) 2  ( y  1) 2  9
center (
,
)
radius:
b.
( x  2) 2  y 2  4
center (
,
)
radius: