Question

Create a family budget plan. Make sure to cover that 360 degrees in a circle and is used when calculating the angle measurement. Explain how you applied your knowledge about central angles and areas of the circle in creating a graph.

Answer 1

The central angle is a part of $360\degree$

Let $\alpha$ be central angle, $S_\alpha$ be a square inside central angle, $L_\alpha$ be a length of arc of central angle,

$S$ be a square of circle, $L$ be a length of circumference. Then:

$\frac{\alpha}{360\degree}=\frac{S_\alpha}{S}=\frac{L_\alpha}{L}$

In our case every, part of budget is represented by central angle with appropriate proportion.