Converting an angle in degree measure to radian measure

Converting an angle in degree measure to radian measure

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to convert a number from degrees to radians. It starts by introducing the concept of degrees and radians, then demonstrates the conversion process by multiplying the degree value by π/180. The tutorial continues by simplifying the resulting fraction to obtain the final radian value, π/6. The video concludes with a brief confirmation of the result.

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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 degrees to radians?

Subtract 90 from the degree value

Add 180 to the degree value

Multiply by π/180

Divide by π

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the degree symbol during the conversion process?

It remains unchanged

It cancels out

It is added to the numerator

It is multiplied by π

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you simplify the fraction 30π/180?

Divide both numerator and denominator by 10

Multiply both numerator and denominator by 2

Divide both numerator and denominator by 30

Subtract 10 from the numerator

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final simplified form of 30π/180?

π/9

π/6

π/12

π/3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it unnecessary to write the number 1 in the final expression π/6?

Because it is too small

Because it is too large

Because it is incorrect

Because it is implied