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Converting an angle in radians to degrees - ACT prep - SAT prep - score high on tests

Converting an angle in radians to degrees - ACT prep - SAT prep - score high on tests

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to convert radians to degrees using the relationship that π radians is equivalent to 180 degrees. It demonstrates the conversion process with an example, emphasizing the importance of using the correct ratio. The tutorial also clarifies the concept of equivalent ratios and their application in comparing distances on a unit circle.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of π in degrees?

270 degrees

360 degrees

180 degrees

90 degrees

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which ratio is used to convert radians to degrees?

270 degrees to π

90 degrees to π

360 degrees to π

180 degrees to π

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example calculation, what is the result of 180 divided by 30?

8

7

5

6

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final result of the example conversion from radians to degrees?

-54 degrees

-72 degrees

-60 degrees

-66 degrees

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to arrange the conversion ratio correctly?

To make the calculation faster

To simplify the equation

To ensure the units cancel out properly

To avoid using π

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