Lesson Worksheet: Circles and Circumference Mathematics

In this worksheet, we will practice identifying and using parts of a circle and its circumference to solve problems.


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

  • Ahalf
  • Bequal to
  • Ctwice


If the diameters of the two given circles, with centers 𝑀 and 𝑁, are 2 cm and 6 cm, respectively, determine the length of 𝑀𝑁.


Identify all the radii in the following circle:

  • A𝐡𝐸,𝐹𝐢
  • B𝑁𝐡,𝑁𝐢,𝑁𝐸,𝑁𝐹
  • C𝐹𝐷


Which segment in this circle is a chord?

  • A𝐢𝑀
  • B𝐴𝐷
  • C𝑀𝐡


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


Find the length of 𝑀𝑁.


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


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


If the two circles have the same center, 𝑀, and the lengths of their radii are 21 cm and 66 cm, find the length of 𝐢𝐷.


The diameter of the circle with center 𝑁 is 23, and 𝐡𝑁=5. Find the length of 𝐴𝐡.

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