MATHEMATICS · Multi-part · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles
Problem
A rectangular park is 20 m long and 10 m wide. A semicircular lawn is constructed externally on one of the shorter sides, the diameter of the semicircle being equal to that side of the rectangle.
Answer the following parts:
(a) Find the total area of the combined park–lawn figure, correct to the nearest square metre.
(b) Determine the length of the outer boundary that must be fenced, if the side of the rectangle opposite to the semicircular lawn is already bounded by a wall and need not be fenced. Give your answer correct to one decimal place.