Lesson Example Discussion Quiz: Class Homework |
Step-5 |
Title: Angle measurement (degrees, radians) |
Grade: 1400-a Lesson: S3-L6 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Convert the angle \$π/3\$ rad into degrees using the radians to degrees formula. |
|
2 |
Step |
The given angle is |
Angle = \$pi/3\$ |
3 |
Formula: |
To convert radians to degrees, you use the formula: |
\$"Degrees" = "Radius" times 180/(pi)\$ |
4 |
Step |
Now plug the value in the formula |
\$"Degrees" = pi/3 times 180/(pi)\$ |
5 |
Step |
Let’s simplify |
\$"Degrees" =( pi times 180) / 3 times pi\$ \$"Degrees" = \cancel(180)^60 / \cancel(3)\$ \$"Degree" = 60\$ |
6 |
Step |
So, \$π/3\$ radians is equal to 60°. |
|
7 |
Choice.A |
60°, is correct because it represents the conversion of \$π/3\$ radians to degrees |
60° |
8 |
Choice.B |
This is inaccurate as it assigns 55 degrees, an incorrect conversion for \$π/3\$ radians |
55° |
9 |
Choice.C |
Option C is inaccurate as it assigns 64 degrees, an incorrect conversion for \$π/3\$ radians |
64° |
10 |
Choice.D |
Option D is inaccurate as it assigns 58 degrees, an incorrect conversion for \$π/3\$ radians |
58° |
11 |
Answer |
Option |
A |
12 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
|
Copyright © 2020-2022 saibook.us Contact: info@saibook.us Version: 1.5 Built: 04-June-2024 09:20AM EST