Question

Find the Area of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenth place.

Answer 1

Answer: 68.1

Step-by-step explanation:

The area of a semi-circle is 1/2 the area of a full circle. The area of a full circle is pi*r^2. Therefore, the area of a semi-circle is:

$Area=\pi r^2/2$

$Area=\pi (3)^2/2=9\pi /2$

The area of a rectangle is the length multiplied by the width:

$Area=l*w$

$Area=6*9=54$

The net area is the sum of the rectangle and the semi-circle:

$Area=(9\pi /2)+(54)=68.1$