How to write the radian measure of an angle in degrees

How to write the radian measure of an angle in degrees

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to convert a radian measure to degrees by eliminating π and using the division property. The process involves multiplying by 180/π, simplifying the expression, and calculating the final degree value. The teacher demonstrates the steps and clarifies the final result as 157.5 degrees.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in converting radians to degrees?

Divide by 180

Eliminate π and multiply by 180/π

Multiply by π

Add 180 to the radian value

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to π during the conversion process?

It is multiplied by 180

It cancels out

It remains unchanged

It is added to the degree value

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After converting radians to degrees, what is the next step?

Simplify the resulting fraction

Multiply the result by 2

Add 90 to the result

Subtract 180 from the result

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified degree value of 7 * 180 / 8?

90 degrees

180 degrees

157.5 degrees

315 degrees

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to simplify the fraction in degree conversion?

To eliminate the need for π

To ensure the result is in radians

To make calculations easier

To make the number larger