1. Circles
Selected questions:

2. Circles
A closed plane whose
every point is equidistant
from a point within the
curve.
Answer: circle

3. Circles
The given point described
in the definition of the
circle.
Answer: center

4. Circles
The length around a circle.
Answer: circumference

5. Circles
A chord passing through
the center of the circle.
Answer: diameter

6. Circles
A segment whose
endpoints are points on
the circle.
Answer: chord

7. Circles
A line which intersects the
circle at exactly one point.
Answer: tangent line

8. Circles
A line which intersects the
circle at two points.
Answer: secant line

9. Circles
The set of all points whose
distance from the center is
less than the radius.
Answer: interior of the circle

10. Circles
The set of all points/
whose distance from the
center is greater than the
radius.
Answer: exterior of the circle

11. Circles
It is an angle in the circle
whose vertex is the center
of the circle.
Answer: central angle

12. Circles
An arc with a measure of
180 is a
Answer: semicircle

13. Circles
An inscribed angle of a
circle measures 45. What
is the measure of its
intercepted arc?
Answer: 90

14. Circles
Which of the following
ordered pairs is a point of
the circle with equation
x2 + y2 = 45?
a. ( -5,5) b. (3,-6)
Answer: b. ( 3, -6 )

15. Circles
The measure of the central
angle of a regular nonagon
is.
Answer: 40

16. Circles
The measure of a central
angle of a circle is equal to
the measure of its
intercepted arc.
Answer: The Central Angle-Intercepted Arc Postulate

17. Circles
The measure of an
inscribed angle is one-half
the measure of its
intercepted arc.
Answer: The Inscribed Angle Theorem

18. Circles
Two or more angles
inscribed in the same arc
are congruent.
Answer: The inscribed Angles in the same Arc Theorem

19. Circles
What is the distance
between the points (-2, 5)
and (4, -3)?
Answer: 10

20. Circles
What is the distance
between the points (3, -7)
and (6, 2)?
Answer:

21. Circles
(-3, 2) and (12, 10) are
points on opposite ends of
the diameter of a
circle. What is the radius
of the circle?
Answer: 8.5

22. Circles
The distance between the
points (-2, y) and (3, -7)
is 13 units. What are the
possible values for y?
Answer: y = -19 or 5

23. Circles
The coordinates of the
right-angled triangle ABC
are: A = (1,2), B = (3,6)
and C = (7,4). What is the
length of the hypotenuse
of the triangle?
Answer:

24. Circles
What is the midpoint of
the straight line segment
joining the points (-2, 5)
and (6, -1)?
Answer: (2, 2)

25. Circles
What is the midpoint of AB?
Answer:

26. Circles
What is the midpoint of
the straight line segment
joining the points (3, -6)
and (-4, -3)?
Answer:

27. Circles
What is the midpoint of
the straight line segment
joining the points (-2, 9)
and (3, -2)?
Answer:

28. Circles
What is the midpoint of
BC?
Answer:

29. Circles
Find the area of a circle
whose circumference is
4𝜋
3
?
Answer: 4𝜋
9

30. Circles
QP is tangent to circle O at
P. If 𝑚∠𝑃𝑂𝑄 = 73, what is
𝑚∠𝑄 ?
Answer: 17
O
P
Q

31. Circles
PS and PQ are secant and
tangent circle A. if arc
RQ is 52, what is 𝑚∠𝑃 ?
Answer: 26
S
R
A
Q
P

32. Circles
Answer: 85
C
A
B
D
E
Given circle E with secants AB
and CD if arc AC = 53 and arc
BD = 117, find 𝑚∠CEA ?

33. Circles
Answer: 26
P
S
R
Q
O
A
Given circle A with secants OQ and
OP if arc RS = 32 and arc QP=84,
find 𝑚∠𝑂 ?

34. Circles
Given 𝐴𝐵 ⊥ 𝐶𝐷 𝑎𝑡 𝐹, CD is
10cm long. How far is CD
from the center if the
length of the radius is 13
cm.
Answer: 12
F AB
C
D

35. Circles
Find the circumference of a
circle whose radius is
3
𝜋
𝑖𝑛 .
Answer: 6

36. Circles
The radius of a circle is 20.
Find the length of the arc
whose measure is 45o.
Answer: 5π

37. Circles
What is the center of a
circle with equation of
x2 +(y+7)2=25 ?
Answer: (0, -7)

38. Circles
What is the equation of
the circle whose center is
( -4, -3 ) and passing
through the origin ?
Answer: (x + 4)2 +(y + 3)2 = 25

39. Circles
Find the perimeter of a
triangle whose vertices are
at the given points
A(0,-4), B(3,0), C(0,0).
Answer: 12 units

40. Circles
Find the area of a triangle
whose vertices are at the
given points
A(0,-4), B(3,0), C(0,0).
Answer: 6 units

41. Circles
Draw a triangle with
vertices A(0,-4), B(3,0),
C(0,0). What kind of
triangle it is?
Answer: right triangle

42. Circles
If A is a the midpoint MN ,
determine the coordinates
of A if the coordinates of
the endpoints are M(-4,-3)
and N(4,3).
Answer: (0,0)

43. End
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