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Technical Mathematics · Grade 12 CAPS

Mensuration, Angles & Angular Movement

Mensuration, Angles & Angular Movement is one of 9 topics in the Grade 12 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 circle (360 degrees)?

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

2. State the formula for arc length, s, in terms of radius r and angle theta (in radians).

Answer: s = r.theta — Arc length is calculated using s = r.theta, with theta measured in radians.
Medium

3. Convert 180 degrees to radians. Give your answer as a multiple of pi (state only the numeric coefficient of pi).

Answer: 1 — radians = 180 x (pi/180) = pi, so the coefficient of pi is 1.
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