Question

Find the area of this figure round your answer to the nearest hundredth. Noticed that only half of the circle is included in the figure**

Answer 1

From the given picture we can see that

A figure formed from

A semicircle with a radius of 3 ft

An isosceles triangle with 2 equal sides of 5 ft

A base equal to the diameter of the semicircle

A height of 4 ft

The rule of the area of the semicircle is

`A_C=(1)/(2)*\pi* r* r`

Pi = 3.14

r = 3

The rule of the area of the triangle is

`A_T=(1)/(2)* base* height`

Base = r + r = 3 + 3 = 6

Height = 4

The area of the figure is the sum of them

`\begin{gathered} A=A_C+A_T \\ A=(1)/(2)*3.14*3*3+(1)/(2)*6*4 \\ A=14.13+12 \\ A=26.13\text{ ft}^2 \end{gathered}`

The area of the figure is 26.13 ft^2

The answer is

A = 26.13 ft^2