Worksheet: Circles

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

Q1:

Find the length of 𝑀𝑁.

Q2:

Identify all the radii in the following circle:

  • A𝐵𝐸,𝐹𝐶
  • B𝑁𝐵,𝑁𝐶,𝑁𝐸,𝑁𝐹
  • C𝐹𝐷

Q3:

Given that 𝐴𝐵=42cm and 𝐸𝐶=10cm in the two concentric circles shown below, find the length of 𝐴𝐶.

Q4:

Suppose 𝐴𝐵=132cm, 𝑀𝐷=44.5cm, and 𝑀𝐸=26.7cm. What is the length of 𝐵𝐷?

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
  • CA radius

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 the 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 𝐵 and 𝐶?

  • A𝐵𝐶
  • B𝐵𝐶
  • C𝐶𝐵
  • D𝐵𝐶
  • E𝐵𝐶

Q11:

Identify the radii of the circle.

  • A𝑀𝐸,𝑀𝐹,𝑀𝐺,𝑀𝐻
  • B𝐸𝐻,𝐸𝐹,𝐹𝐺,𝐺𝐻
  • C𝐸𝐺,𝑀𝐻,𝑀𝐺,𝐸𝐹
  • D𝑀𝐸,𝑀𝐹,𝐸𝐹,𝑀𝐻

Q12:

Identify the diameter of this circle.

  • A𝐴𝐵
  • B𝑀𝐵
  • C𝐴𝐶
  • D𝑀𝐴

Q13:

Given that 𝐴𝐵=15cm, find the radius to the circle 𝑀.

Q14:

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

Q15:

Determine the diameter of the circle 𝑀, given that its radius 𝐴𝑀=49cm.

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 𝑀 and 𝑁 are 2 cm and 6 cm, respectively, determine the length of 𝑀𝑁.

Q19:

Circles 𝑀 and 𝑁 are of radii 11 and 18 and touch internally. Determine 𝑀𝑁.

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 𝐴𝐵 and 𝐶𝐷 meet at 𝐸. If the lengths 𝐴𝐸, 𝐵𝐸, and 𝐶𝐷 are 5, 6.4, and 12 respectively, what are the possible values for 𝐸𝐶?

  • A8 or 5
  • B5 or 6.4
  • C8 or 4
  • D4 or 6.4

Q23:

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

  • A𝐿𝐺,𝐹𝐾
  • B𝐸𝐹,𝐹𝐺,𝐿𝐻,𝐿𝐺,𝐹𝐾
  • C𝑁𝐸,𝑁𝐹,𝑁𝐺,𝑁𝐾,𝑁𝐿

Q24:

In the figure, 𝑀𝐴=34cm. Determine the length of 𝐶𝐸.

Q25:

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

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