Geometry Unit 8 Take Home Test
Name: ___________________________________________
Part 1: For the following problems, use a highlighter or colored pencil to darken the indicated part of the circle.
1. Highlight a radius of the circle.
2. Highlight a major arc of the circle.
3. Highlight the arc of a semicircle.
4. Highlight a sector of the circle.
5. Highlight a segment of the circle.
6. Highlight a central angle in the circle.
Part 2: Answer the following questions about the circle below.
7. What is the Circumference of the circle at the right?
Answer in terms of : ___________
Answer as a decimal rounded to the nearest hundredth: __________
8. What is the length of
Answer in terms of : ___________
Answer as a decimal rounded to the nearest hundredth: __________
9. What is the length of
Answer in terms of : ___________
Answer as a decimal rounded to the nearest hundredth: __________
10. What is the length of
Answer in terms of : ___________
Answer as a decimal rounded to the nearest hundredth: __________
Geometry Unit 8 Take Home Test
Name: ___________________________________________
Part 3: Answer the following questions about the circle below.
11. What is the Area of the circle at the right?
Answer in terms of : ___________
Answer as a decimal rounded to the nearest hundredth: __________
12. What is the area of the sector formed by
Answer in terms of : ___________
Answer as a decimal rounded to the nearest hundredth: ________
13. What do you call the shaded section of the circle?
a) A sector
b) A segment c) A minor arc d) A chord
Part 4: Solve for x in the following problems.
14.
15.
x = ___________
16.
x = __________
x = __________
17. Fill in the blank: A line that is tangent to a circle is ________________________ to the radius of the circle.
Part 5: Solve for x in the following problems. Round your answers to the nearest tenth when necessary.
18.
19.
x = __________
20.
x = __________
x = __________
Geometry Unit 8 Take Home Test
Name: ___________________________________________
Part 6: Solve for all variables in the problems below.
21.
22.
x = __________
23.
x = ________ y = ________
a = _____ b = _____ c = _____ d = _____
24. Fill in the blank: The measure of an inscribed angle is _______________ the measure of the intercepted arc.
Part 7: Solve for all variables in the problems below.
25.
26.
a = ________ b = ________
28.
27.
x = ___________
x = __________
29.
x = __________
30.
x = __________
Part 8: Write equations in standard form for the following circles.
31. Center (3,5) Radius: 4
Equation: ______________________________________
32. Center (-2,5) Radius: 5
Equation: ______________________________________
y = __________