MATHEMATICS · Multi-part · IB Diploma Programme · Mathematics: Analysis and Approaches · Geometry and Trigonometry · Geometry and Trigonometry
Problem
A circular garden has a radius of 7m. A caretaker walks along the boundary of a part of the garden covering an arc of length 22m.
(i) Find the measure of the central angle subtended by this arc at the centre of the garden, correct to one decimal place.
(ii) Calculate the area of the portion of the garden enclosed by this arc and the two radii.