A park is in the form of a triangle with base and height

MATHEMATICS · Multi-part · CBSE · Mathematics · Area · Area

Problem

A park is in the form of a triangle with base 60 m60\,\text{m} and height 45 m45\,\text{m}. At each of its three vertices, a semicircular flower bed of radius 4 m4\,\text{m} is laid inside the park. (i) Calculate the area of the triangular park. (ii) Find the total area occupied by the three semicircular flower beds. (iii) Determine the area of the park that remains available for grass. (iv) What percentage of the original park area is covered by grass after the flower beds are made? (Give your answer to one decimal place.)

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