Lesson Worksheet: Central Angles in a Circle Mathematics

In this worksheet, we will practice identifying a central angle in a circle and finding its measure using its properties.

Q1:

In the given figure, the circle has center 𝑀and radius 7 cm. Given that 𝐴𝐵=14.9cm, find 𝑀𝐵, rounded to the nearest tenth, and 𝑚𝐴𝑀𝐶.

  • A𝑀𝐵=14.9cm, 𝑚𝐴𝑀𝐶=151
  • B𝑀𝐵=16.5cm, 𝑚𝐴𝑀𝐶=119
  • C𝑀𝐵=13.2cm, 𝑚𝐴𝑀𝐶=119
  • D𝑀𝐵=16.5cm, 𝑚𝐴𝑀𝐶=151

Q2:

How many 1 ∘ angles are in a circle?

Q3:

How many 90 turns are needed to make a complete turn?

Q4:

How many 45 angles does it take to make a full turn?

Q5:

Jackson turns one-third of a full turn. How many degrees is this?

Q6:

This circle is divided into 3 equal parts. What is the angle of each part?

Q7:

What is the value of the central angle of a circular sector when a circular segment and a circular sector have the same area?

Q8:

Find 𝑚𝐴𝑀𝐵.

Q9:

𝐴, 𝐵, and 𝐷 are three points on a circle with radius 54 cm and center 𝑀. The point 𝐶 is the intersection of 𝑀𝐷 and 𝐴𝐵 and we have 𝑀𝐶𝐴𝐵 and 𝑀𝐶=42cm. Find the central angle of the major circular segment 𝐴𝐹𝐵 giving the answer to the nearest second.

  • A28415
  • B282654
  • C322730
  • D321327

Q10:

In the figure, given that the circumference is 96 and 𝐴𝐵=12, find 𝜃.

Practice Means Progress

Download the Nagwa Practice app to access questions, unit-exams, and flashcards for your school courses.

scan me!

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.