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Name: __________________________________________________
Serafino ▪ Geometry
Per: _________
Date: ________________
Circles Quest
Unit 6
Write if the statement is true or false (write the word). Correct the statement if it is false.
1.
An intercepted arc’s measure is half of the measure of its inscribed angle. _____________
2. A secant is a line that that touches the circle at one point. _____________
3. When tangent and a radius intersect, they form a 180˚ angle. _______________
4. Any inscribed angle intercepting a semicircle has a measure of 90˚ _________________
5. The measure of a central angle is congruent to the arc it intercepts. ____________________
6. Find the circumference of a circle with a radius of 8 cm.
Give exact and approximate (2 decimals)
7. Find the radius of a circle that has a circumference of 12 cm.
Give exact and approximate (2 decimals)
8. Find the perimeter of the figure below.
Give exact and approximate (2 decimals)
3
8
3
9. OP = 9 in and mNOP = 120˚. Find the arc length of
Give exact and approximate (2 decimals)
N
O
P
NP .
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10. If m QTS =300° and the arc length of QS = 12.
Find the radius of ⊙ R. Exact and approximate.
T
R
S
Q
11.
The m  ARX is 40˚, What is the m  ABY?.
12. . If  F = 130° and
G  105°, then:
E
F
D
G
13. MK is a diameter and m ML = 102°, then  M =
L
M
K
mD =
m E =
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14. If ON = 12, find the perimeter of the triangle.
O
x
P
N
10m
15.
Find m R,  P and  Q.
2m
M
What kind of shape is RPOQ?
P
Q
O
140
R
16. You’re shopping for hot tub covers and you forgot to measure the circumference of your hot tub (doh!). Luckily,
you remember its diameter is exactly 6.5 feet. In the store, the circumference of the cover on sale is 20 feet. Will
this cover completely cover your hot tub? Indicate how many inches less or more you would need.
17. The tire diameter for most vehicles is 18 inches (1.5 feet). If hour house is 2 miles from school (1 mile = 5280 feet),
approximately many revolutions do your tires make from your home to school?
18. What is the measure of the angle formed by
19. What approximate distance the tip of a 3–inch
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the two hands at 12:20?
minute hand travels from 1:20 – 1:48?
20. I baked you pie because you did so well on this quest (aww). I cut it into four unequal slices.
The central angles of the four slices are A = 3x, B = 6x – 15, C = 5x + 15, D = 4x
Which slice, A, B, C, or D, is the largest? What is its degree measure?