# Lesson Worksheet: Circles Mathematics

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

Q1:

Find the length of . Q2:

Identify all the radii in the following circle: • A
• B
• C

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?

• ANo
• BYes

Q7:

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

• Ahalf
• Bequal to
• Ctwice

Q8:

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

• AA diameter
• BThe center

Q9:

Which of the following correctly defines a circle?

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

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 .

Q20:

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

• Atwice
• Bchord
• Ca quarter of

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 5
• B5 or 6.4
• C8 or 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?