Question

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

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

Answer:

The area is 41.12 square units.

Step-by-step 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 = $\frac{1}{2}\times base \times height$

= $\frac{1}{2}\times8\times4=16$ 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 = $\frac{\pi r^{2} }{2}$

= $\frac{3.14\times4\times4}{2}$

= 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