Question

Need help please
find the area of the shape below

Answer 1

`198.5\ cm^2`

Explanation:

Break the figure in three parts as shown in the image I attached.

The figure makes 2 semi circles and 1 rectangle so,

Area of rectangle = Length x breadth

Area of rectangle = 12 x 10

Area of rectangle = 120

Now for the semi circles , we have 2 semi-circles which means area of both semi circles would be

Area of semi circle =
`(1)/(2) \pi r^2\\`

so, Area of two semi circles would be =
`((1)/(2) \pi r^2)2`

so, Area of two semi circles would be =
`\pi r^2`

now for the radius we know that,

Diameter = 2 x radius

D = 2r

and the diameter is 10cm so,

10 = 2r

10/2 = r

r = 5cm

so we put r = 5 in the formula ,

`Area\ of\ two\ semi\ circles\ = \pi r^2\\Area\ of\ two\ semi\ circles\ =\pi (5)^2\\Area\ of\ two\ semi\ circles\ =25\pi \\Area\ of\ two\ semi\ circles\ =78.5\ cm^2`

So now the total area of the figure is

Total Area = Area of rectangle + Area of two semi circles

Total Area = 120 + 78.5

Total Area = 198.5 cm^2