the shape of a garden is rectangular in the middle and semi circular at the ends as shown in the diagram. find the area and the perimeter of this garden (length of rectangle 20-(3.5+3.5)meters)
Answers
Answer:
Perimeter of garden = 48 m
Step By Step Explanation:
Given: Total length = 20 m
Diameter of semi circle = 7 m
So, Radius of semi circle = 7/2 = 3.5 m
Length of rectangular field = 20 – (3.5 + 3.5) = 20 – 7 = 13 m
Breadth of the rectangular field = 7 m
So, Area of rectangular field = l * b = 13 * 7 = 91 m^2
Area of two semi circles = 2 * (πr^2)/2
= 2 * (22/7 * 3.5 * 3.5)/2
= 22 * 0.5 * 3.5
= 38.5 m^2
Area of garden = 91 + 38.5 = 129.5 m^2
Now Perimeter of two semi circles = 2 * πr
= 2 * 22/7 * 3.5
= 2 * 22 * 0.5 = 22 m
And Perimeter of garden = 22 + 13 + 13 = 48 m