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Grade 10 inscribed and central angles worksheets

HSG-C.A.2 Measurement and geometry

Printable inscribed and central angles worksheets for grade 10, aligned to Common Core standard HSG-C.A.2. Inscribed angle is half the arc.

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Sample problems

  1. An inscribed angle intercepts an arc of 28°. What is the measure of the angle? 14°
  2. An inscribed angle measures 24°. What is the measure of the arc it intercepts? 48°
  3. An inscribed angle intercepts an arc of 160°. What is the measure of the angle? 80°
  4. An inscribed angle measures 16°. What is the measure of the arc it intercepts? 32°
  5. An inscribed angle measures 29°. What is the measure of the arc it intercepts? 58°
  6. An inscribed angle intercepts an arc of 110°. What is the measure of the angle? 55°
  7. An inscribed angle measures 36°. What is the measure of the arc it intercepts? 72°
  8. An inscribed angle measures 22°. What is the measure of the arc it intercepts? 44°

These eight are one sample at medium difficulty — the generator makes a different set every time.

A worked example

An inscribed angle intercepts an arc of 28°. What is the measure of the angle? 14°

  1. An inscribed angle is half its intercepted arc
  2. 28 ÷ 2 = 14°

Every problem on the answer key can show its steps like this — turn on “Show steps” before downloading.

About these worksheets

Each problem states its own measurements, so the reasoning is the same but the arithmetic is new every time. Every sheet is generated fresh, so you can print a new one on the same skill as often as you need — different numbers, same difficulty.

Pick how many problems you want and whether they should be easy, medium or hard, then download a PDF with a matching answer key. The key can show the worked steps for every problem, which is what a parent needs to see where a wrong answer went wrong.

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