Math tutorial for converting an angle from radians to degrees

Math tutorial for converting 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 given in radians to degrees. It starts by introducing the concept of angle conversion and the necessity of eliminating π from the equation. The instructor then details the conversion ratio used to change radians to degrees, emphasizing the multiplication by 180 degrees over π. The tutorial provides a step-by-step guide to performing the conversion, including calculations and verification of results. Additionally, an alternative method for performing the conversion is discussed, offering a different approach to achieve the same result.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial problem discussed in the video?

Calculating the circumference of a circle

Converting 55π/2 radians to degrees

Finding the area of a circle

Converting degrees to radians

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the conversion ratio used to convert radians to degrees?

π/180

π/360

180/π

360/π

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in converting radians to degrees?

Add 180 to the radians

Multiply by 180/π

Subtract π from the radians

Divide by 180

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying 5 by 180 in the conversion process?

450

360

900

180

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the alternative method mentioned for simplifying the conversion?

Divide 180 by 2 first

Multiply by π first

Add 90 to the result

Subtract 90 from the result