Lesson Example Discussion Quiz: Class Homework |
Step-3 |
Title: Circles |
Grade: 1200-a Lesson: S3-L1 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
An arc length in a circle is 10 cm, and the central angle corresponding to the arc is 60 degrees. Find the radius of the circle. |
|
2 |
Step |
Given |
s = 10 cm and θ = 60° |
3 |
Formula: |
The arc length and the central angle |
\$r = (s / θ) times ((180°) / π)\$ |
4 |
Hint |
Substituting the given values into the formula and solve for |
\$r = ((10 cm) /\(cancel60°^1)) times (\(cancel180°^3) / π)\$ \$r = (10 \times 3/π)\$ |
5 |
Step |
After simplification the r value is |
\$r = 30 / π\$ r = 9.55 cm |
6 |
Step |
Therefore, the radius of the circle is 9.55 cm |
|
7 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
8 |
Choice.A |
Incorrect, as it is not the closest to the calculated result involving π |
9.45 cm |
9 |
Choice.B |
It is the correct answer as it is the closest to the calculated value for the radius |
9.55 cm |
10 |
Choice.C |
Incorrect, as it is not the closest to the calculated result involving π |
9.64 cm |
11 |
Choice.D |
Incorrect, as it is not the closest to the calculated result involving π |
9.59 cm |
12 |
Answer |
Option |
B |
13 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
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