Question

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

Answer 1

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

This corresponds to choice (a).

Answer 2

The area of Grass is 1965.74  ft².

The correct option is (A).

What is Area of Circle?

The area of a circle is pi times the radius squared (A = π r²)

Given:

radius= 58/2= 29 ft

Base of triangle = 27 ft

Height of triangle= 50 ft

Area of Circular portion= πr²

                                       = 3.14*29*29

                                       = 3.14*841

                                       = 2640.74 ft²

Area of Triangular portion = 1/2* base* height

                                           = 1/2* 27* 50

                                           = 27*25

                                           = 675 ft²

Area of grass=  2640.74 ft²-  675 ft²

                      = 1965.74  ft²

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