Convert an angle from degrees minutes and seconds to radian form

Convert an angle from degrees minutes and seconds to radian form

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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Quizizz Content

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The video tutorial explains how to convert time in minutes and seconds into decimal form and then convert degrees into radians. It begins with a discussion on the inconvenience of using minutes and seconds in calculations and the need to convert them into decimal form. The tutorial then demonstrates the calculation process, resulting in a decimal value. Following this, the video covers the conversion of degrees to radians, explaining the use of π/180 in the conversion formula. The tutorial concludes with a practical example, providing a rounded radian value.

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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 minutes and seconds into a decimal form?

Multiply minutes by 60 and seconds by 3600

Subtract seconds from minutes

Divide minutes by 60 and seconds by 3600

Add minutes and seconds together

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to convert degrees into radians using π/180?

Because it is a standard mathematical practice

Because it ensures the units cancel out correctly

Because radians are always larger than degrees

Because it simplifies the calculation

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the correct conversion factor to use when converting degrees to radians?

360/π

π/180

π/360

180/π

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After converting to decimal, what is the next step to find the radian value?

Multiply by 180

Add π to the decimal

Divide by π

Multiply by π and divide by 180

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final radian value obtained from the conversion process?

1.31 radians

75.322 radians

180 radians

7.2 radians