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Inscribed Angles - Worksheet 5 - 10th Grade

Medium

Apply the inscribed angle theorem and corollaries (Medium)

22 problems · 20-25 minutes · Skills: circles, inscribed angles, geometry

About This Worksheet

This medium-level worksheet contains 22 problems designed for 10th Grade students practicing inscribed angles. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.

The Inscribed Angle Theorem is one of the most elegant and useful results in circle geometry. It connects angles and arcs in a precise way that enables problem solving throughout circle geometry and appears in higher mathematics including the geometry of complex numbers and the unit circle in trigonometry.

  • Apply the Inscribed Angle Theorem (inscribed angle = half the intercepted arc)
  • Use corollaries to find angles inscribed in semicircles or in the same arc
  • Apply the properties of inscribed polygons, especially cyclic quadrilaterals
  • Calculate angles formed by two chords intersecting inside a circle
  • Solve for missing arc or angle measures in multi-step circle diagram problems

How to Solve: Worked Example

Example Problem: Solve the first problem on the worksheet.
Solution Steps:
  1. Read the problem carefully.
  2. Identify what is being asked.
  3. Use what you know to find the answer.
  4. Check your work.
Answer: See the answer key below
Tip: Take your time and read each problem carefully before answering!
1
5 + 8 =
2
1 + 4 =
3
6 + 10 =
4
6 + 4 =
5
5 + 9 =
6
1 + 2 =
7
10 + 1 =
8
6 + 8 =
9
9 + 5 =
10
8 + 6 =
11
7 + 3 =
12
4 + 2 =
13
6 + 4 =
14
5 + 6 =
15
2 + 1 =
16
5 + 1 =
17
2 + 3 =
18
8 + 5 =
19
6 + 10 =
20
5 + 4 =
21
6 + 2 =
22
5 + 1 =

Answer Key

1. 132. 53. 164. 105. 146. 37. 118. 149. 1410. 1411. 1012. 613. 1014. 1115. 316. 617. 518. 1319. 1620. 921. 822. 6

Frequently Asked Questions

How do I download this inscribed angles - worksheet 5 worksheet?

Click the "Download PDF / Print" button at the top of the worksheet. You can save it as a PDF or print it directly. The answer key will be on a separate page.

How do I find worksheets at different difficulty levels?

Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.

What skills does this circles worksheet cover?

This worksheet focuses on circles, inscribed angles, geometry. It is designed for 10th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 22 problems. It typically takes 20-25 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.