CIRCLES PRACTICE TEST /50
True/False /8
Indicate whether the sentence or statement is true or false.
If false, write the corrected statement in the space provided.
____ 1. Diameter is the straight-line distance from a circle’s centre to any outside point.
____________________________________________________________________
____ 2. Every point on a circle is the same distance from the centre.
_____________________________________________________________________
____ 3. The number π is an irrational number.
_____________________________________________________________________
____ 4. The formula for the circumference of a circle (using radius) is C=πr.
_____________________________________________________________________
____ 5. The diameter passes through the centre of the circle.
_____________________________________________________________________
____ 6. The formula for the area of a circle is A=πr.
______________________________________________________________________
____ 7. The radius of a circle does not have to be a straight line.
______________________________________________________________________
____ 8. A semicircle is one quarter of a whole circle.
______________________________________________________________________
Matching /9
Match the correct term to the lines in this diagram.
____ 9. radius
____ 10. diameter
____ 11. chord
____ 12. secant
____ 13. tangent
Match the correct term to each of the following descriptions.
a arc d circumference
. .
b area e pi
. .
c centre f segment
. .
____14. the perimeter of a circle.
____ 15. the space enclosed within a circle.
____ 16. the part of a circle enclosed by a chord and an arc.
____ 17. the ratio of a circle’s circumference divided by its diameter.
Multiple Choice /6
Identify the letter of the choice that best completes the statement or answers the question.
____ 18. What is the diameter of Circle A?
a 1.5 cm c 3 cm
. .
b 3.14 cm d 6 cm
. .
____ 19. What is the circumference of Circle A?
a 4.71 cm c 9.42 cm
. .
b 18.84 cm d 28.26 cm2
. .
____ 20. A circle has a diameter of 6km. What is its radius?
a 1.5 km c 3 km
. .
b 3m d 12 km
. .
____ 21. A circle has a radius of 2.2mm. What is its area?
a 6.9 mm2 c 15.2 mm2
. .
b 13.8 mm2 d 60.8 mm
. .
____ 22. A circle has a diameter of 6.4m. What is its circumference?
a 10.0 m c 20.1 m
. .
b 12.8 m d 32.2 m
. .
____ 23. A circle has a circumference of 24cm. What is its diameter?
a 3.1 cm c 7.6 cm
. .
b 3.8 cm d 14.5 cm
. .
Short Answer /8
Write your answer in the space provided.
24. Complete the table for a circle with the given measurement.
Radius Diameter Circumference Area
a) 1.6 km
b) 24.0 mm
c) 0.5 m
d) 4.2 m
e) 9.1 cm
f) 39.6 km
25. A circular fountain has a radius of 3.7m. What is the circumference of the fountain?
26. A circular park has a radius of 22.5m. What is the area of the park?
Problem /4
Write your answer in the space provided.
27. The shape below shows a circle within a rectangle. What is the area of the shaded region?
28. Ryan is building a fence around a circular garden. If fencing costs $10/m and the garden
has a radius of 1.6m, how much money will they have to spend?
/6
29. What is the formula for:
a. Circumference (using r) =
b. Circumference (using d) =
c. Area =
d. diameter =
e. radius =
f. π =
/1
30. Describe how to find the origin of a circle.
/8
31. Fill in the blanks.
a. An _________ number, can’t be written as a fraction, has unending decimals.
b. A ______________ is a V-shaped device used to draw circles.
c. A circle is ____________, meaning it has no straight edges.
d. The _____________ is a chord that continues outside the circle.
e. The longest chord in a circle is the _____________. It also has a length of 2r.
f. A ___________ is made by two radii and an arc.
g. A _____________ is made by a chord and an arc.
h. The space enclosed by a circle is the _________.
Possible words:
Segments Tangent Compass Sector Ratio
Irrational Area Chord Radius Secant
Circle Round Diameter Semicircle Rational
/50
CIRCLES PRACTIVE TEST – ANSWER KEY
True/False /8
1. F Radius is the straight-line distance from a circle’s centre to any outside point.
2. T
3. T
4. F The formula for the circumference of a circle (using radius) is C=2πr.
5. T
6. F
7. F The radius of a circle is a straight line.
8. F A semicircle is half of a whole circle.
Matching /9
9. E
10. C
11. B
12. D
13. A
14. D
15. B
16. F
17. E
Multiple Choice /6
18. D
19. B
20. C
21. C
22. C
23. C
Short Answer /8
24.
Radius Diameter Circumference Area
0.8 km 1.6 km 5.0 km 2.00 km2
3.8 mm 7.6 mm 24.0 mm 45.34 mm2
0.5 m 1.0 m 3.1 m 0.78 m2
2.1 m 4.2 m 13.2 m 13.85 m2
9.1 cm 18.2 cm 57.1 cm 260.02 cm2
6.3 km 12.6 km 39.6 km 124.63 km2
25.
C = 2πr
C = 2 x 3.14 x 3.7m
C = 23.2m
26.
A = πr2
A = 3.14 x (22.5m)2
A = 3.14 x 506.25m2
A = 1589.62m2
Problem /4
27.
Area of the rectangle Radius of circle Area of the circle
A=lxw r = 0.5d A = πr2
A = 28m x 10m r = 0.5 x 10m A = 3.14 x (5m)2
A = 280m2 r = 5m A = 3.14 x 25m2
A = 78.5m2
Shaded area = Area of rectangle – Area of circle
Shaded area = 280m2 – 78.5m2
Shaded area = 201.5m2
28.
Circumference of circle (fence used)
C = 2πr
C = 2 x 3.14 x 1.6m
C = 10.05m
Money spent
Cost = $10/m x 10.05m
Cost = $100.5
Ryan will have to spend $100.50 to build the fence.
29. What is the formula for:
a. Circumference (using r) = 2 πr
b. Circumference (using d) = πd
c. Area = π r 2
d. diameter = 2r
e. radius = d/2
f. π = C/d
30. Describe how to find the origin of a circle.
Perpendicular bisector of two non-parallel chords.
https://youtu.be/kGz_7OcU4EM?t=129
4 Tangents, or 2 equal length parallel chords, or the intersection of the
perpendicular of 2 nonparallel bisected chords.
https://www.wikihow.com/Find-the-Center-of-a-Circle
31. Fill in the blanks.
a. An Irrational number, can’t be written as a fraction, has unending decimals.
b. A Compass is a V-shaped device used to draw circles.
c. A circle is Round, meaning it has no straight edges.
d. The Secant is a chord that continues outside the circle.
e. The longest chord in a circle is the Diameter. It also has a length of 2r.
f. A Sector is made by two radii and an arc.
g. A Segment is made by a chord and an arc.
h. The space enclosed by a circle is the Area.
Possible words:
Segments Tangent Compass Sector Ratio
Irrational Area Chord Radius Secant
Circle Round Diameter Semicircle Rational
