A plot is in the form of a rectangle ABCD having semi-circle on BC as shown in the following figure. If AB = 60 m and BC = 28 m, find the area of the plot.
Answers
Answer:
The area of the plot is 1988 m².
Step-by-step explanation:
Given :
From the figure :
Length of a rectangle, AB = 60 m
Breadth of a rectangle, BC = 28 m
Diameter Of A Semicircle = breadth of a rectangle
2r = BC
2r = 28
r = 28/2
r = 14 m
Radius of the Semicircle = 14 m
Area of semicircle ,A1 = ½ πr²
A1 = ½ × 22/7 × 14 × 14
A1 = 22 × 7 × 2
A1 = 44 × 7
A1 = 308 m²
Area of semicircle = 308 m²
Area of rectangle, ABCD , A2 = l × b
A2 = 60 × 28
A2 = 1680 m²
Area of rectangle = 1680 m²
Area of plot,A = Area of rectangle + Area of semicircle
A = 1680 + 308
A = 1988 m²
Hence, the area of the plot is 1988 m².
HOPE THIS ANSWER WILL HELP YOU….
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Answer: 1988m^2
Hope it helps u^_^