Question

A stage is in the form of a rectangle and a semicircle as shown. Work out the total area of the stage. Give your answer correct to 2 significant figures. *

Answer 1

Answer:

Here is your answer

Step-by-step explanation:

Answer 2

Given :

• A stage is in the form of a rectangle and a semicircle as shown.

To find :

• Total area of the stage =?

Formula Used :

• Area of Rectangle = length x breadth

• Area of semi-circle = 1/2 π r²

Step-by-step explanation :

1st Case :

Length of rectangle = 16 m.

Breadth of rectangle = 5.5 m.

We know that,

Area of Rectangle = length x breadth

Substituting the values in the above formula, we get,

= 16 × 5.5

= 88

Therefore, Area of the rectangle = 88 m².

2nd Case :

In Semi - Circle,

Length of rectangle = Diameter of circle = 16 m.

So, Radius of the Circle = Diameter /2 = 16/2 = 8 m.

We know that,

Area of semi-circle = 1/2 π r²

Substituting the values in the above formula, we get,

= 1/2 × 22/7 × (8)²

= 1/2 × 3.14 × 8 × 8

= 3.14 × 32

= 100.48

= 100.48

Therefore, Area of the semicircle = 100.48 m².

Now,

Total Area of the given Figure = Area of rectangle + Area of semicircle

Substituting the values, we get,

= 88 + 100.48

= 188.48

Therefore, total area of stage = 188.48 m².