33 POINTS LOOK ON IMAGE A triangular flowerbed is being planted inside a circular area of grass. What is the area of the grass (the area surrounding the flowerbed)? (Use 3.14 for π.) 1,965.74 ft 2 8,996.96 ft 2 3,315.74 ft 2 9,212.96 ft 2
Accepted Solution
A:
We assume your diagram shows a circle with a diameter of 58 feet, inside of which is a triangle with a base of 50 ft and a height of 27 ft.
The area you seek seems to be the difference between the area of the circle and that of the triangle.
Area of a circle is given by area = pi*radius^2 = 3.14*(29 ft)^2 = 3.14*841 ft^2 = 2640.74 ft^2 Area of a triangle is given by area = (1/2)*base*height = (1/2)*(50 ft)*(27 ft) = 675 ft^2
The grass area is the difference of these areas grass area = 2640.74 ft^2 - 675 ft^2 = 1965.74 ft^2