find the area of the shaded region
Answers
Method of Solution:
Please Follow the Steps:
Step: In above Picture,there are two semicircle,( Already Given.)
Step: When We add two Semicircle is equal to 'Circle'.
Step: SO, Find the Value of Area Of circle, and then Find the value of Area of Rectangle.
Step: Subtract Area of Rectangle from Area of Circle
Solution:
Area of Circle = Area of Semicircle + Area of Semicircle
Here, Diameter = 7 Cm
So, Radius be = 3.5 cm
Area of Circle = Area of Circle.
•°• Area of Circle= πr²
=> 22/7 × (3. 5)²
=> 22/7× 3. 5×3.5
=> 38.46 Cm ( Approx 38.5)
Now, Area of Rectangle = Length× Breadth
•°• Area of Rectangle = 20×7 cm²
•°• Area of Rectangle = 140cm²
So Area of Shaded Portion = 140 - 38.50 Cm²
Hence, Area Of shaded Portion = 101.5Cm²
Answer:
Area of the shaded region is 101.5 m^2
Step-by-step explanation:
On observing the given diagram, we get that there are two structures, 2 semi circle and one rectangle.
Area of shaded region = Area of whole rectangle - area of semi - circles.
We know that the area of any rectangular body is length x breadth.
In the given question, length of the rectangle = 20 m and breadth of the body = 7 m.
So ,
= > Area of the rectangle = 20 m x 7 m
= > Area of the rectangle = 140 m^2
Now,
As we can see, breadth of the rectangle is the diameter of the semi - circles. There are two semi - circles of same diameter. As the diameter of both the semi - circles is equal, if we add them, we will get a circle.
So, area of both the semi - circle = area of one circle with same radius( = 7 m )
So, diameter of the circle = 7 m
2 x radius of the circle = 7 m
radius of the circle = 3.5 m
We know that the area of circle is πr^2,
Hence,
Area of the circle = 22 / 7 x 3.5 m x 3.5 m
= > Area of the circle = 38.5 m^2
Now,
Area of the shaded region = Area of whole rectangle - area of semi - circles.
Area of the shaded region = 140 m^2 - area of the circle
Area of the shaded region = 140m^2 - 38.5 m^2
Area of the shaded region = 101.5 m^2