MATHEMATICS · Multi-part · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles
Problem
In a circular park of radius 21 m, two straight walkways meet at the centre, enclosing an angle of 60°. The gardening committee wishes to cover only the grass region lying between the chord that joins the ends of the walkways and the corresponding arc with decorative pebbles. Take π=722.
(i) Calculate the area of the sector formed by the walkways.
(ii) Find the area of the triangle enclosed by the two walkways.
(iii) Determine the area of the grass region to be covered with pebbles, correct to the nearest square metre.