Question

Find the area of the figure shown below. Use 3.14 for at and round your answer to the nearest hundredth.

5.2.
6.5
3.3
Provide your answer below:

Answer 1

A=38.24

Explanation:

Compound Area

The figure shows a shape formed by two shapes: Half a circle and a trapezium.

The circle has a radius of r=5.2/2=2.6 and the trapezium has a height of h=6.5 and bases b1=5.2 and b2=3.3.

The area of half a circle is:

`\displaystyle A_c=(\pi r^2)/(2)`

Using pi = 3.14:

`\displaystyle A_c=(3.14\cdot 2.6^2)/(2)=10.6132`

The area of the trapezium is:

`\displaystyle A_t=(b_1+b_2)/(2).h`

`\displaystyle A_t=(5.2+3.3)/(2)\cdot 6.5=27.625`

The total area of the figure is:

`A=10.6132+27.625=38.2382`

Rouning to the nearest hundredth:

A=38.24