A builder of residential project has a vacant square land of side 21 m. He wants to make a temple in the shape of semi-circle and a park in the shape of two quadrants of a circle as shown in the figure. Based on the information, answer the following questions. Take pi=22/7
The area of semi-circular temple in the above given figure in sq.m is
a.163.25
b.168.25
c.173.25
d.178.25
The area of unshaded region in the above given figure in sq.m is
a.340.5
b.346.5
c.350.5
d.355.65
The area of shaded region in the above given figure in sq.m is
a.88.5
b.90.5
c.92.5
d.94.5
pls give ans of these three questions I need it pls
Answers
Answer:
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Step-by-step explanation:
Given:
A builder of a residential project has a vacant square land of side 21 m.
He wants to build a temple in the shape of a semi-circle and a park in the shape of two quadrants of a circle.
Take pi=22/7
To find:
i) The area of the semi-circular temple
ii) The area of the unshaded region
iii) The area of the shaded region
Solution:
i) Area of semi-circle = πr²/2
Radius of semi-circle = 10.5 m
Area = (22/7 x (10.5)²)/2
= 173.25 m²
Hence, the area of the semi-circular temple is c)173.25 m².
ii) Area of unshaded region = area of semi-circle + 2(Area of quadrant)
The radius of quadrant = 10.5 m
Area of 2 quadrants = πr²/2
= (22/7 x (10.5)²)/2
= 173.25 m²
Area of unshaded region = 173.25 + 173.25
= 346.5 m²
Hence, the area of the unshaded region is b) 346.5 m².
iii) Area of shaded region = Area of the square - Area of the unshaded region
Area of square = a²
= 21 x 21
= 441 m²
Area of shaded region = 441 - 346.5
= 94.5 m²
Hence, the area of the shaded region is d) 94.5m².