Question 8 of 42intermediate🔧 ApplyNumerical3 marks
Calculate the length of the arc of a circle if: (i) the radius is 3.5 cm and the angle at the centre is 60°, and (ii) the radius is 6.3 m and the angle at the centre is 120°.
(i)
Answer
11/3 cm (or 3.67 cm)
(ii)
Answer
13.2 m
Explanation
The textbook provides the formula for the length of an arc as , where is the radius and is the angle subtended at the centre. The exercise instructions also specify using for . Applying this formula and approximation to both sub-parts yields the respective arc lengths.