Convert an angle from degrees to radians

Convert an angle from degrees to radians

Assessment

Interactive Video

Mathematics, Social Studies

11th Grade - University

Hard

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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

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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