The shape of a garden is rectangular in the middle and semi-circular at the ends. find the area
and the perimeter of this garden.
Answers
Answer ⤵️
In this garden at the semi-circular ends if we join these two semi-circles it will create a circle.
.
. . Area of ABCD= l×b
= 30×5=150 m²
Area of the circle = πr²
Radius = 5/2=2.5
= 22/7×2.5²
= 22/7×6.25
= 137.5/7
= 19.64 m²
Area of the garden= Area of ABCD + Area of Circle
= 150+19.64
= 169.64 m²
.
. . Perimeter of ABCD= 2(l+b)
= 2(30+5)
= 70 m²
Perimeter of the circle= 2πr
= 2×22/7×2.5
= 110/7
= 15.71 m²
Perimeter of the garden= Perimeter of ABCD + Perimeter of Circle
= 70+15.71
= 85.71 m²
.
. . So the Area and perimeter of the garden is 169.64 m² and 85.71 m².
Step-by-step explanation: