A square courtyard of side 28 m has identical quarter–circular segments of radius 7 m…
MATHEMATICS · Multi-part · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles
Problem
A square courtyard of side 28 m has identical quarter–circular segments of radius 7 m removed from each of its four corners (the straight edges of each quarter circle coincide with the sides of the square). Take π=722.
(i) Find the area of the remaining courtyard surface.
(ii) Determine the length of the outer boundary of the remaining shape.
(iii) The courtyard is to be covered with lawn grass at the rate of Rs 55 per square metre. Find the total cost of laying the grass.