Investigation: Area of a Sector and Length of an Arc

Last updated over 2 years ago

3 questions

In this Exploration, you will generalize the relationship between the measurements.

For a pizza of radius r cut into four equal slices or sectors:
1. State the fraction of the pizza in each sector.

2. State the central angle for each sector.

3. What fraction of the circumference is the arc length of each sector? Write down an expression for the arc length of each sector.

4. Describe how you can use the arc length of a sector to Find the perimeter of a sector. Write down an expression for the perimeter of each sector.

5. What fraction of the area of the circle is the area of each sector?
Write an expression for the area of each sector.

Investigation: Area of a Sector and Length of an Arc

Complete the table.

What is the formula for the area of the sector?

What is the formula for the length of the arc.