Unit Circle Concepts and Characteristics

Miss Piekarski explains the unit circle, its structure, and how to fill it out using degrees and radians. She discusses dividing the circle into sections and relates it to special right triangles. Students are instructed to complete the unit circle in pencil and are reminded of the importance of exact answers.

What is the primary characteristic of a unit circle?

• It has a radius of 1 unit.

• It is always drawn on a grid.

• It is measured in feet.

• It is used to measure angles in degrees only.

Why is it recommended to fill out the unit circle in pencil?

• Because it looks neater.

• Because mistakes can be easily corrected.

• Because it is a requirement.

• Because it is easier to read.

How do you convert 30 degrees to radians?

• Multiply by 180 and divide by π.

• Multiply by π and divide by 180.

• Multiply by 2π and divide by 360.

• Multiply by π and divide by 90.

Into how many sections is the unit circle initially divided?

• Two halves

• Four quarters

• Eight sections

• Six sections

What is the hypotenuse of a 45-45-90 triangle on the unit circle?

• 1 unit

• 2 units

• √2 units

• √3 units

What should you avoid using when filling out the unit circle?

• Whole numbers

• Negative numbers

• Fractions

• Decimals