Lesson Worksheet: Inscribed Angles in a Circle Mathematics • 11th Grade

In this worksheet, we will practice identifying theorems of finding the measure of an inscribed angle with respect to its subtended arc or central angle subtended by the same arc and the measures of inscribed angles in a semicircle.

Q1:

Find 𝑚𝐴𝐶𝐷.

Q2:

From the figure, what is 𝑥?

Q3:

Given that 𝑚𝐴𝑀𝐷=41.5, find 𝑚𝐵 in degrees.

Q4:

Find 𝑚𝐷𝐶𝐵.

Q5:

Given that 𝑚𝐵𝐴𝐶=(𝑥+15), find 𝑥.

Q6:

Given that 𝐴𝐶=8cm and the radius =8cm, find the area of 𝐴𝐵𝐶 rounded to the nearest integer.

Q7:

In the figure, 𝐵𝐷 is a diameter. What is 𝑚𝐴𝐶𝐷?

Q8:

Given that 𝑚𝐶𝐴𝐵=64, find 𝑚𝐶𝐵𝐷.

Q9:

Given that 𝑚𝐶𝐴𝐵=31, find 𝑦 and 𝑥.

  • A𝑦=59, 𝑥=90
  • B𝑦=31, 𝑥=90
  • C𝑦=31, 𝑥=59
  • D𝑦=90, 𝑥=59

Q10:

Given that 𝑚𝐴𝐵𝐶=(6𝑥+15) and 𝑚𝐶𝐴𝐵=(11𝑥10), find the value of 𝑥.

Practice Means Progress

Download the Nagwa Practice app to access 104 additional questions for this lesson!

scan me!

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