Question

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

Answer 1

Answer:

A=38.24

Step-by-step 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:

$\displaystyle A_c=\frac{\pi r^2}{2}$

Using pi = 3.14:

$\displaystyle A_c=\frac{3.14\cdot 2.6^2}{2}=10.6132$

The area of the trapezium is:

$\displaystyle A_t=\frac{b_1+b_2}{2}.h$

$\displaystyle A_t=\frac{5.2+3.3}{2}\cdot 6.5=27.625$

The total area of the figure is:

$A=10.6132+27.625=38.2382$

Rouning to the nearest hundredth:

A=38.24