How to find the missing arc length given the radius and theta

How to find the missing arc length given the radius and theta

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to convert degrees to radians and simplify expressions to find the new Theta. It then demonstrates calculating arc length using the formula s = radius * Theta, emphasizing the importance of using a calculator for precision. The tutorial concludes with the final calculation and rounding of the result to the nearest hundredth.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it necessary to convert degrees to radians in this context?

Radians are the standard unit for angular measurements in mathematics.

Radians are smaller than degrees.

Radians are easier to understand.

Degrees are not used in calculations.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of 75 degrees in radians?

π/3

5π/12

5π/4

15π/12

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula used to calculate the arc length?

Arc length = radius - Theta

Arc length = radius * Theta

Arc length = radius / Theta

Arc length = radius + Theta

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it recommended to keep π in calculations until the end?

To make it easier to use different calculators

To simplify the process

To make calculations faster

To ensure accuracy and avoid rounding errors

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the approximate arc length calculated in the video?

2.73 cm

3.72 cm

3.27 cm

3.17 cm