# math

A horse pasture is formed by a large semi-circular grassy area and a triangular-shaped riding area. The base of the
riding area is 50 feet and it extends to a height of 75 feet. What is the total area of the pasture if the height of the riding
area equals the diameter of the grassy area? Round to the nearest tenth.

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1. At first I was going to assume that the base of the triangle would fall on the diameter of the semi-circle but then the data contradicted that, so we have 2 separate areas ?

Height of triangle equals diameter of semi-circle, so r = 75/2 = 37.5 ft
total area = triangle + semicircle
= (1/2)(50)(75) + (1/2) π (37.5^2) = .....

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