Learn to convert an angle in radians to degrees using conversion ratio

Learn to convert an angle in radians to degrees using conversion ratio

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to convert an angle from radians to degrees using a conversion fraction. It demonstrates the process by multiplying the given radian value by 180/π, simplifying the expression by canceling out π, and performing the final division to obtain the degree value. The example used is converting 5π/4 radians to degrees, resulting in 225 degrees.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the conversion fraction used to change radians to degrees?

270 degrees over π

90 degrees over π

180 degrees over π

360 degrees over π

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the π terms during the conversion process?

They are multiplied

They remain unchanged

They are added together

They cancel each other out

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After multiplying 5 by 180, what is the next step in the conversion process?

Divide by 4

Add 90 to the result

Multiply by π

Subtract 180

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the degree equivalent of 5π/4 radians?

90 degrees

360 degrees

225 degrees

180 degrees

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final degree value obtained after the conversion?

900 degrees

225 degrees

450 degrees

180 degrees