Prime Colors Math

Circle Theorems

Worksheet 01  ·  Name: _______________________________  ·  Date: ___________
Question 1 — Inscribed Angle Theorem
B A C x
The diagram shows a circle with points A, B, and C on the circumference. The inscribed angle ∠ABC = 38°.

Find the size of the arc AC (the central angle subtended by arc AC).
Answer: ∠AOC =
Question 2 — Angle at the Centre
P Q R O 2x x
P, Q, and R are points on a circle with centre O. The central angle ∠POQ = 112°.

(a) Find the inscribed angle ∠PRQ.
(b) State the theorem you used.
∠PRQ =
Theorem: