A field is shaped like the figure shown. What is the area of the field? Use 3.14 for pi
Accepted Solution
A:
I attached the image for this question.
Answer: area of field = 146.24 m²
Explanation: Noticing the figure, we can see that it is composed of three regular shapes: 1- a square 2- a triangle 3- quarter of a circle
We will get the area of each shape separately and then add them to get the total area of the field.
1- getting the area of the square: area of the square = (side)² we have the side = 8 m Therefore: area of square = (8)² = 64 m² ...............> I
2- getting the area of the triangle: area of triangle = [tex] \frac{1}{2} [/tex] * base * height We have the base = 8 m and the height = 8 m Therefore: area of triangle = [tex] \frac{1}{2} [/tex] * 8 * 8 = 32 m² ..........> II
3- getting the area of the quarter circle: area of circle = πr² area of quarter circle = [tex] \frac{1}{4} [/tex] * πr² We have π = 3.14 and r = 8 m Therefore: area of quarter circle = [tex] \frac{1}{4} [/tex] * 3.14 * (8)² = 50.24 m² .....> III
4- getting the total area of field: Total area of field = I + II + III Total area of field = 64 + 32 + 50.24 Total area of field = 146.24 m²