Question

This figure is made up of a triangle and a semicircle.

What is the area of the figure?

Use 3.14 for π

Enter your answer, as a decimal, in the box.

Answer 1

Area of triangle = 1/2 (8)(4) = 16
Area of semi-circle = 1/2 (3.14)(4^2) = 1/2(3.14)(16) = 25.12

Area of figure = 16 + 25.12 = 41.12

answer
41.12 square units

Answer 2

The area is 41.12 square units.

Explanation:

From the given diagram we will count the number of units for the base, height and diameter/radius.

We can see that the base of the triangle is 8 units and height is 4 units.

So, area of triangle is given as =
`(1)/(2)* base * height`

=
`(1)/(2)*8*4=16` square units

Similarly, the base of the triangle forms the diameter of the semi circle. So, radius will be half the diameter or 4 units.

Area of a semi circle is given as =
`(\pi r^(2) )/(2)`

=
`(3.14*4*4)/(2)`

= 25.12 square units

Now, we will add both the area of triangle and semi circle to get the complete area of figure.

`16+25.12=41.12` square units