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Technical Mathematics · Grade 11 CAPS

Circles, Angles & Angular Movement

Circles, Angles & Angular Movement is one of 9 topics in the Grade 11 Technical Mathematics CAPS syllabus, covered across 3 lessons on Study Vault. Below are real practice questions from this topic with full worked answers.

Sample practice questions

Easy

1. How many radians are in a full revolution (360 degrees)?

Answer: 2.pi radians — A full revolution of 360 degrees equals exactly 2.pi radians.
Easy

2. State the arc length formula relating arc length s, radius r, and central angle theta (in radians).

Answer: s = r.theta — The arc length formula is s = r.theta, where theta must be in radians.
Medium

3. Convert 90 degrees to radians. Give your answer to 3 decimal places. (Use pi=3.1416.)

Answer: 1.571 — 90 x pi/180 = 90 x 3.1416/180 = 1.571 radians (3 d.p.).
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