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)?
2.pi radians
pi radians
360 radians
1 radian
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.