Lesson Example Discussion Quiz: Class Homework |
Step-2 |
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 |
In a circle with center O, points C and D lie on the circle. ∠COD has a measure of \$(2π)/5\$ rad. Convert ∠COD’s angle measure from radians to degrees. |
|
2 |
Step |
The given angles is |
\$∠"COD" = (2pi)/5\$ |
3 |
Formula: |
To convert radians to degrees, you use the formula: |
\$ "Degrees" = "Radians" times 180/(pi)\$ |
4 |
Step |
Plug the values in the formula |
\$"Degrees" = (2pi)/5 times 180/(pi)\$ |
5 |
Step |
Now let’s simplify |
\$"Degrees" = (360pi)/(5pi)\$ |
6 |
Step |
Therefore So, ∠COD measures 72°. |
|
7 |
Choice.A |
20°, is incorrect because it’s not the correct conversion of \$(2π)/5\$ radians to degrees |
20° |
8 |
Choice.B |
Corrcet: The calculation done accurately done by using formula |
72° |
9 |
Choice.C |
70° is not correct because it doesn’t correspond to the correct conversion of ∠COD from radians to degrees |
70° |
10 |
Choice.D |
Incorrect: Because it’s not the correct conversion from radians to degrees for the given angle |
27° |
11 |
Answer |
Option |
B |
12 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
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