Question

Find the area of each figure. round to the hundredths place when necessary

Answer 1

115.48
`m^(2)`

Explanation:

This shape can be split into two distinct shapes

Two halves of a semi circle, and a rectangle in between

Circle:

Putting both halves of the semi circle together will give you a full circle. The diameter of the circle is given (7m).

The area of a circle is A = π
`r^(2)`

The radius, r, is half of the diameter, so 7 / 2 = 3.5m

A = π
`r^(2)`

A = π *
`3.5^(2)`

A = 38.38
`m^(2)`

Rectangle:

The area of a rectangle is A = h b

The height, h, is known at 7m

The base, b, can be found by removing the length from the dot to the end of the semi circles. This length is the radius of the semi circles, 3.5m

Removing the radius from the total length given

18 - 3.5 - 3.5 = 11m

The base is 11m

A = h b

A = 7 * 11 = 77
`m^(2)`

Total Area = Circle area + Rectangle area

Total Area = 38.38 + 77 = 115.48
`m^(2)`