Mathematics

Mathematics

Problem

A circular garden has a radius of 7 m7\,\text{m}. A caretaker walks along the boundary of a part of the garden covering an arc of length 22 m22\,\text{m}. a. (i) Find the measure of the central angle subtended by this arc at the centre of the garden, correct to one decimal place. b. (ii) Calculate the area of the portion of the garden enclosed by this arc and the two radii.

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