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Home > Maths I > Measure and Shape > Area and circumference of a circle

Maths I

Area and circumference of a circle

The area of a combined shape

This shape is made up of a rectangle and a semicircle.

To find the total area we just find the area of each part and add them together.

A composite shape made of a rectangle with a semicircle joined on top by its straight edge. The width of the rectangle is 20 millimetres, and the height of the rectangle is 30 millimetres.

Area of the rectangle:

= length x breadth

= 20 \times 30

= 600mm^2

Area of the semicircle:

 

= {1 \over 2} \pi r^2

 

= {1 \over 2} \times 3.14 \times 10 \times 10

 

= 157mm^2

Total area = 600 + 157

= 757mm^2

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