Lesson Example Discussion Quiz: Class Homework |
Step-5 |
Title: Find the length and perimeter |
Grade: 6-a Lesson: S2-L4 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Determine the perimeter of a sector of PRQ given in image. |
|
2 |
Step |
The given values are |
radius = 46 cm and angle of sector = 70º |
3 |
Formula: |
The radians of the sector are θ |
\$θ = angle of sector times π /(180º)\$ |
4 |
Step |
Now substitute the values |
\$θ = 70 times π /(180º)\$ |
5 |
Step |
After simplification |
[(7π)/(18)] |
6 |
Formula: |
The new arc length |
\$radius times θ\$ |
7 |
Step |
Now substitute the values |
\$ 46 times (7π)/(18)\$ |
8 |
Step |
After simplification |
56.17 cm |
9 |
Formula: |
Perimeter of sector |
radius + radius + new arc length |
10 |
Step |
Now substitute the values |
46 + 46 + 56.17 |
11 |
Step |
After simplification |
148.17 cm |
12 |
Step |
The perimeter of the sector is 148.17 cm |
|
13 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
|
14 |
Choice.A |
This is correct because it correctly represents the calculated perimeter of the sector |
148.17 cm |
15 |
Choice.B |
This is incorrect as it corresponds to the arc length only |
56.17 cm |
16 |
Choice.C |
This value does not match the calculated perimeter, so it is incorrect |
92 cm |
17 |
Choice.D |
This is not correct because it represents the sum of the two radii without including the new arc length |
46 cm |
18 |
Answer |
Option |
A |
19 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
|
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