MATHEMATICS · Multi-part · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles
Problem
In a circle of radius 14cm, a chord subtends an angle of 60∘ at the centre. Answer the following.
(i) Calculate the area of the sector determined by the chord.
(ii) Calculate the area of the triangle formed by the two radii and the chord.
(iii) Hence find the area of the minor segment bounded by the chord and its corresponding arc.
(iv) Express the ratio of the area of the minor segment to the area of the whole circle in its simplest fractional form.