A city park is in the shape of a perfect circle of radius 42 m
MATHEMATICS · Subjective · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles
Problem
A city park is in the shape of a perfect circle of radius 42 m. The management decides to pave a walkway that occupies the region bounded by two radii making an angle of 75° at the centre and the arc joining their end points.
(i) Identify the geometrical name of the region to be paved and write its definition.
(ii) Calculate the length of the arc that forms the outer edge of the walkway. (Use π=22/7.)
(iii) Calculate the area of the region to be paved.
(iv) If the cost of paving is Rs. 240 per square metre, determine the total expenditure for the walkway.