# Worksheet: Properties of Circles

In this worksheet, we will practice identifying and using parts of a circle, such as the radius, chord, and diameter, to solve problems.

**Q3: **

Given that and in the two concentric circles shown below, find the length of .

**Q4: **

Suppose , , and . What is the length of ?

**Q5: **

Are all the radii of a circle equal in length?

- Ayes
- Bno

**Q6: **

Is the diameter the longest chord in a circle?

- Ayes
- Bno

**Q7: **

The length of the radius of a circle is the length of its diameter.

- A half
- B equal to
- C twice

**Q8: **

What is the name of a chord that passes through the center of a circle?

- AThe center
- BA radius
- CA diameter

**Q9: **

Which of the following correctly defines a circle?

- AA circle is the set of points in a plane that are different distances away from the center.
- BA circle is the set of points in a plane that are the same distance from the a given point called the center.
- CA circle is the set of points in a plane that does not have any lines of symmetry.
- DA circle is the set of points in a plane with a single curved side.
- EA circle is the set of points in a plane with a limited number of sides.

**Q10: **

In the given figure, which of the following would represent the chord passing through and ?

- A
- B
- C
- D
- E

**Q11: **

Identify the radii of the circle.

- A
- B
- C
- D

**Q12: **

Identify the diameter of this circle.

- A
- B
- C
- D

**Q13: **

Given that , find the radius to the circle .

**Q14: **

If the length of diameter of circle is 158 cm, find the radius of the circle.

**Q15: **

Determine the diameter of the circle , given that its radius .

**Q16: **

What is the radius of a circle whose diameter is 18?

**Q17: **

What is the diameter of a circle whose radius is 3?

**Q18: **

If the diameters of circles and are 2 cm and 6 cm, respectively, determine the length of .

**Q19: **

Circles and are of radii 11 and 18 and touch internally. Determine .

- A15
- B7
- C29
- D18
- E11

**Q20: **

What is the name for any line segment in a circle whose endpoints intersect the circle?

- A chord
- B a quarter of
- C twice

**Q21: **

If the length of the longest chord in a circle is 310 cm, what is its radius?

**Q22: **

Chords and meet at . If the lengths , , and are 5, 6.4, and 12 respectively, what are the possible values for ?

- A8 or 4
- B8 or 5
- C5 or 6.4
- D4 or 6.4

**Q23: **

Determine the chord(s) of the circle shown below.

- A
- B
- C

**Q24: **

In the figure, . Determine the length of .

**Q25: **

What is the longest segment with endpoints on a circle of radius 66.9 cm?