A plot is in the form of a rectangle ABCD having semi-circle on BC . If AB=60 m and BC=28 m,find the area of the plot.
Answers
Answer:
Step-by-step explanation:
Given :-
length = 60 m
Breadth = 26 m
Radius = 28/2 = 14 m
Solution :-
Area of rectangle ABCD = l × b
Area of rectangle ABCD = 60 × 28
Area of rectangle ABCD = 1680 m²
Area of semicircle = πr²/2 = 22 × (14)²/7 × 2
Area of semicircle = 308 m²
Area of the plot = Area of rectangle ABCD + Area of a semicircle.
Area of the plot = 1680 m² + 308 m² = 1988 m²
Hence, he area of the plot is 1988 m² .
QUESTION :
A plot is in the form of rectangle ABCD having semi-circle on BC. If AB = 60m and BC = 28m, find the area of plot.
SOLUTION :
See the figure in the attachment...
Area of the above plot = Area of Rectangle + Area of Semicircle
Area of Rectangle = 28 × 60 = 1680 meters square .
Area of Semicircle = 1/2 × π × 14 × 14 = 308 meters square.
Hence total area = 1680 m^2 + 308 m^2 = 1988 m^2
The answer is that the total area enclosed by the plot in the above figure is 1988 m^2.