Graphing a radian in terms of pi in standard form

Graphing a radian in terms of pi in standard form

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the concept of improper fractions using the example of 7π/6. It discusses how the numerator is greater than the denominator and breaks down the fraction into parts, showing how it represents a circle divided into sections. The tutorial also visualizes the fraction on a circle, explaining how 7π/6 is equivalent to six π/6 plus an additional π/6, representing a little extra angle. The explanation includes visualizing the initial and terminal sides of the angle on a circle.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is an improper fraction?

A fraction where the numerator is less than the denominator

A fraction where the numerator is greater than the denominator

A fraction where the numerator is equal to the denominator

A fraction with a numerator of zero

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can 7π/6 be broken down?

As 3π/6 plus 4π/6

As 6π/6 plus π/6

As 5π/6 plus 2π/6

As 4π/6 plus 3π/6

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does dividing a circle into parts help us understand?

The concept of whole numbers

The concept of improper fractions

The concept of decimal numbers

The concept of angles in radians

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of 6π/6 in the context of a circle?

It represents a quarter of a circle

It represents half of a circle

It represents a full circle

It represents three-quarters of a circle

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can breaking down angles into smaller parts be helpful?

It makes calculations more complex

It helps in understanding the angle better

It is unnecessary and confusing

It is only useful for whole numbers