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 2πr×θ∘360∘2\pi r \times \frac{\theta^\circ}{360^\circ}, where rr is the radius and θ\theta is the angle subtended at the centre. The exercise instructions also specify using 227\frac{22}{7} for π\pi. Applying this formula and approximation to both sub-parts yields the respective arc lengths.