How to find a point on the unit circle given an angle

How to find a point on the unit circle given an angle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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Quizizz Content

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The video tutorial explains how to determine the point on the unit circle when the angle is π. It begins by discussing the representation of the angle π and its equivalence to 180 degrees. The tutorial covers the concept of standard form, rotating rays, and the unit circle's radius. It further explains how to measure angles in radians and identify terminal sides. Finally, it demonstrates how to find specific points on the unit circle, particularly at angle π, and concludes with a brief introduction to upcoming topics.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in determining a point on the unit circle for a given angle?

Identify the radius of the circle

Determine the angle in standard form

Find the coordinates of the point

Calculate the circumference of the circle

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many degrees is equivalent to an angle of π radians?

180 degrees

90 degrees

360 degrees

270 degrees

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between the radius of the unit circle and the value of π?

The radius can wrap around the circle π times

The radius is twice the value of π

The radius is equal to π

The radius is half of π

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which point on the unit circle corresponds to the angle π?

(-1, 0)

(0, 1)

(0, -1)

(1, 0)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the point (-1, 0) on the unit circle?

It is the midpoint of the circle

It is the terminal point for the angle π

It is the starting point for all angles

It represents the angle 0 radians