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Convert an angle from degrees to radians

Convert an angle from degrees to radians

Assessment

Interactive Video

Mathematics, Social Studies

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to convert an angle from degrees to radians. It begins by introducing the concept of conversion and the necessity of multiplying by the ratio π/180. The tutorial then demonstrates how degrees cancel out during the process, leaving the expression in radians. The instructor further simplifies the expression to -3/2π, equivalent to -270 degrees. The video concludes with a summary of the conversion process.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial step in converting degrees to radians?

Add π to the degree measure

Multiply by π/180

Divide by π

Subtract 180 from the degree measure

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why do we multiply degrees by π/180 during conversion?

To add a constant value

To simplify the equation

To cancel out the degree units

To convert radians to degrees

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of -270/180 in radians?

-1/2 π

-3/2 π

-3 π

-2/3 π

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equivalent radian measure for -270 degrees?

-2 π

-1/2 π

-3/2 π

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final radian measure obtained from -270 degrees?

-3/2 π

-1/2 π

-2 π

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