How to Math - Converting angle measures from degrees to radians

How to Math - Converting angle measures from degrees to radians

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to convert radians to degrees. It begins by introducing the concept of multiplying radians by 180/π. An example is provided using 3π/2 radians, demonstrating the step-by-step process of simplifying the expression by canceling π and performing the final calculation to arrive at 270 degrees. The tutorial 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 formula used to convert radians to degrees?

Multiply by π and divide by 180

Multiply by 180 and divide by π

Multiply by 360 and divide by π

Multiply by π and divide by 360

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example, what is the initial radian value that is being converted?

π

3π / 2

π / 3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the π terms during the conversion process in the example?

They are added together

They remain unchanged

They are multiplied

They cancel out

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the intermediate step after canceling out the π terms in the example?

3 * 90

90 / 3

3 * 180 / 2

180 / 3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final degree value obtained from converting 3π / 2 radians?

180 degrees

90 degrees

270 degrees

360 degrees