Lesson Example Discussion Quiz: Class Homework |
Step-2 |
Title: Circles |
Grade: 8-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 |
The circumference of a circle is equal to its area. Find the diameter of the circle. |
|
2 |
Step |
Given |
circumference is equal area |
3 |
Formula: |
Area of a circle |
\$ A = πr^2\$ |
4 |
Formula: |
Circumference is equal to the area |
C = πd |
5 |
Hint |
Diameter is twice the length of the radius |
d = 2r |
6 |
Step |
Substitute the value in area formula |
\$πd = π (d/2)^2\$ |
7 |
Step |
After simplification |
\$πd = π(d^2/4)\$ |
8 |
Step |
After simply the equation |
\$4\cancelπd = \cancelπd^2\$ \$4d = d^2\$ ( \$d^2 = d \times d\$) \$4\cancel d = \cancel d \times d\$ d = 4 |
9 |
Step |
After simplification |
d = 4 units |
10 |
Step |
Therefore, the diameter of the circle is 4 units. |
|
11 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
12 |
Choice.A |
This is incorrect because it is not a solution to the quadratic equation |
2 units |
13 |
Choice.B |
This is incorrect because it is not a solution to the quadratic equation |
5 units |
14 |
Choice.C |
This is correct. It satisfies both the equation and the physical context of a circle’s diameter is d = 4 |
4 units |
15 |
Choice.D |
This is incorrect because it is not a solution to the quadratic equation |
6 units |
16 |
Answer |
Option |
C |
17 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
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