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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Quizizz Content

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The video tutorial explains how to convert degrees to radians by using the ratio of π to 180 degrees. It demonstrates the process of multiplying degrees by π/180 to cancel out the degrees and simplify the expression to radians. The example provided shows how 120 degrees is converted to 2/3 π radians, emphasizing the importance of understanding the equivalence between degrees and radians for accurate measurement.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equivalent of π radians in degrees?

45 degrees

360 degrees

180 degrees

90 degrees

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in converting degrees to radians?

Multiply by π/180

Multiply by 180

Divide by π

Add 180 to the degrees

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why do we multiply by π/180 when converting degrees to radians?

To simplify the calculation

To cancel out the degrees

To increase the degree value

To convert radians to degrees

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified radian measure of 120 degrees?

3/2 π

5/6 π

2/3 π

1/2 π

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final radian measure of 180 degrees?

3/4 π

1/2 π

π