Question

Find the Area of the figure below, composed of a rectangle and a semicircle. The

radius of the circle is shown. Round to the nearest tenths place.
12

Answer 1

86.1

Explanation:

The semi-circle is half of a circle. The area is:

Area_halfcircle

= 1/2 • pi • r^2

We know the radius, so we can find the area of this part of the shape. Radius is 3.

Area

= 1/2 • pi • 3^2

= 1/2 • pi • 9

= 9/2 pi

~= 14.137

So, the other part of of the shape is a rectangle. The length is 12. The width is the the diameter of the circle. Since the radius is 3, the diameter is 6.

Area_rectangle

= length × width

= 12 × 6

= 72

Add these two amounts.

Area_total

= 72 + 14.137

= 86.137

Rounded to the nearest tenth...

= 86.1