Convert an angle from radians to degrees

Convert an angle from radians to degrees

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. It begins by discussing the common challenge of understanding where the measurement is going. The instructor then explains the importance of removing the π symbol during conversion and introduces the ratio of 180 degrees to π as a key tool. By applying this ratio, the π symbols cancel out, allowing the conversion to degrees. The tutorial concludes with a calculation example, converting -7π/12 radians to degrees, resulting in 105 degrees.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial challenge mentioned when converting radians to degrees?

Visualizing the conversion process

Memorizing the conversion formula

Understanding the concept of radians

Calculating the exact degree value

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the key mathematical tool used to convert radians to degrees?

The ratio of 180 degrees to π

The ratio of 90 degrees to π

The ratio of 270 degrees to π

The ratio of 360 degrees to π

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the π symbol get eliminated during the conversion process?

By adding π to both sides

By multiplying by π

By dividing π by itself

By subtracting π from both sides

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the degree equivalent of -7π/12 radians after conversion?

180 degrees

150 degrees

120 degrees

105 degrees

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final step in the conversion process demonstrated in the video?

Subtracting the degree value from π

Dividing the product by 12

Multiplying the radian value by 180

Adding the degree value to π