Converting Degrees to Radians

Converting Degrees to Radians

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains the relationship between degrees and radians, focusing on solving a problem to find the radius of a circle given a central angle and arc length. The instructor demonstrates converting degrees to radians and applying the formula for arc length to calculate the radius. The tutorial concludes with a step-by-step calculation using pi as 22/7, resulting in a radius of 35.7 cm.

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22 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the central angle given in the problem?

90°

60°

45°

30°

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the length of the arc mentioned in the problem?

40 cm

37.4 cm

35 cm

50 cm

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the arc length given in the problem?

37.4 cm

40 cm

35 cm

50 cm

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many degrees are equivalent to pi radians?

180°

90°

360°

270°

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula to convert degrees to radians?

Degrees * pi / 180

Degrees * 180 / pi

Degrees / 180

Degrees * 2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between pi radians and degrees?

pi radians = 360°

pi radians = 270°

pi radians = 90°

pi radians = 180°

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between arc length, radius, and angle in radians?

Theta = L + R

Theta = L / R

Theta = L * R

Theta = R / L

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