Circle Sector Area and Fractions

This tutorial explains how to find the area of a circle sector by identifying the fraction of the circle that is shaded and multiplying it by the circle's total area. It provides examples with different sector angles and demonstrates a detailed calculation using a specific example. The tutorial concludes with a summary of the steps involved in the process.

What is the first step in finding the area of a circle sector?

• Calculate the circumference of the circle.

• Find the length of the arc.

• Identify the fraction of the circle that is shaded.

• Measure the diameter of the circle.

If a circle sector is 180°, what fraction of the circle does it represent?

• 1/4

• 3/4

• 1/3

• 1/2

A sector with a 90° angle represents what fraction of the circle?

• 3/4

• 1/3

• 1/2

• 1/4

What fraction of the circle is represented by a 270° sector?

• 1/2

• 3/4

• 1/4

• 1/3

In the detailed example, what is the fraction of the circle for a 120° sector?

• 1/2

• 1/3

• 1/4

• 3/4

What value is used for pi in the detailed example calculation?

• 3.1416

• 3.14

• 3.1

• 3.14159

What is the radius used in the detailed example calculation?

• 4 ft

• 5 ft

• 3 ft

• 2 ft

What is the first mathematical operation performed after substituting the values in the detailed example?

• Subtraction

• Squaring the radius

• Multiplying by pi

• Addition

What is the final area of the circle sector in the detailed example?

• 8.5 square ft

• 10 square ft

• 9.42 square ft

• 9.5 square ft

What is the final step in finding the area of any circle sector?

• Subtract the sector's angle from the circle's diameter.

• Add the sector's angle to the circle's radius.

• Multiply the fraction by the area of the entire circle.

• Divide the circle's circumference by the sector's angle.