Question

What is the area of this shape? Must use 3.14 as an approximation for pi :>

Answer 1

Explanation:

area of the triangle

• you know the height is 8 bc the radius of the circle is 8

`(1)/(2) (12)(8) \\ (1)/(2) (96) \\ 48`

area of the half circle

`(1)/(2) \pi {(8)}^(2) \\ (1)/(2) (3.14)(64) \\ (1)/(2) 200.96 \\ 100.48`

area of entire shape

`48 + 100.48 \\ 148.48 {m}^(2)`

Answer 2

Let's split this up into two shapes: a half-circle and a triangle.

First, we'll find the area of the half-circle. The formula for the area of a circle is: A = 3.14 * r^2. Therefore, the area of a half circle will be: A = 1/2 * 3.14 * r^2. Using our new formula, let's plug in what we know and solve.

A = 1/2 * 3.14 * 8^2

A = 1/2 * 3.14 * 64

A = 3.14 * 32

A = 100.48 m^2

Next, let's find the area of the triangle. The formula for the area of a triangle is: A = 1/2 * base * height. Using our formula, let's plug in what we know and solve.

A = 1/2 * 12 * 8

A = 6 * 8

A = 48 m^2

Finally, we need to add the area of the half-circle and the area of the triangle to find the area of the shape.

100.48 + 48

148.48 m^2

Hope this helps!! :)