NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Chapter 10 Review
Show ALL WORK. Box your final answer.
For Questions 1–3, use ⨀D.
1. Name a radius.
2. Name a chord that is not a diameter
3. Name a tangent.
4. The circumference of a steering wheel
of a car is 20 π inches. What is the
radius of the steering wheel?
̂ .
5. Find m𝐺𝐻
7. In ⨀X, chords ̅̅̅̅
𝐴𝐵 and ̅̅̅̅
𝐶𝐷 are
congruent and ̅̅̅̅
𝐴𝐵 is 9 units from X.
Find the distance from ̅̅̅̅
𝐶𝐷 to X.
8. Find x.
6. Points G and H lie on ⨀T so that TH =
8 meters and m∠GTH = 45. Find the
̂ to the nearest
length of 𝐺𝐻
hundredth.
9. If ̅̅̅̅
𝐴𝐵 is tangent to ⨀C at A, find 𝐴𝐵.
Leave in simplified radical form.
5 in
10. Identify the center and radius of the
circle whose equation is
(𝑥 + 15)2 + (𝑦 − 20)2 = 100.
11. Write the equation of a circle whose
center is at (–1, 5) and radius is 8.
12. Write the equation of the circle
containing the point (10, -1) and a center
at (4, –9).
13. The diameters of ⨀L and ⨀M are 12
and 10 units, respectively, and LQ = 2.
Find RM.
14. The diameter of a frisbee is 12 inches.
What is the circumference to the
nearest hundredth? .
15. In ⨀L, m∠QLN = (2x – 5)o. Find x.
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
16. The radius of ⨀C is 16 units long. Find the length of an arc
that has a measure of 270o. Round to the nearest hundredth.
̂ = 105o, find the area of the shaded
17. If m 𝐴𝐵
sector. Round to the nearest tenth.
18. Find the value of x.
19. In ⨀O, chord ̅̅̅̅
𝑃𝑄 is 8 meters long and 3 inches from the
center.
What is the length of the radius?
D
A
21 – x
C
2x
5x+6
5
B
21. ̅̅̅̅
𝐴𝐵 is tangent to circle O at point A (not drawn to scale).
Find the length of the radius, r, rounded to the nearest tenth.
20. Given that the lines are tangent to the circle, solve for x.
A
8
r
16
O
11 units
B
7 units
x
17
22. ABCD is a quadrilateral inscribed in
⨀O with m∠A = 52o and m∠B = 95o. Find
m∠D.
23. If 𝑚∡𝐴𝐵𝐷 = 36o, find the measure of
∡𝐴𝐶𝐷.
B
C
24. Use completing the square to write the
equation of the following circle x2 8x + y2 + 12y = -13 in standard form
A
D