Lesson Example Discussion Quiz: Class Homework |
Step-1 |
Title: Circles |
Grade: 1400-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 |
A circular garden has an area of 400 square meters. Find the radius and circumference of the garden. |
|
2 |
Step |
Given, the area of circular garden is |
\$400 m^2\$ |
3 |
Formula: |
Area of a circle |
\$ A = πr^2\$ |
4 |
Formula: |
Circumference of a circle |
c = 2πr |
5 |
Hint |
Solving for the radius (r) |
\$A = πr^2\$ |
6 |
Step |
Substitute the value in area formula |
\$400 = πr^2\$ |
7 |
Step |
Solve for (r) radius: |
\$400/π = r^2\$ \$r^2 = 127.30\$ |
8 |
Step |
Apply square root to both sides to obtain the value of r |
\$\cancel(\sqrtr^2) = \sqrt 127.30\$ r = 11.28m |
9 |
Step |
Solving for the circumference © |
C = 2πr |
10 |
Step |
Substitute the value in the circumference formula and simplify the equation |
\$C = 2π(11.28)\$ C = 70.88m |
11 |
Step |
Therefore, the radius of the garden is 11.28 m, and the circumference is 70.88 m. |
|
12 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
13 |
Choice.A |
Accurate and precise values for radius and circumference based on the circular garden’s area make it correct |
11.28 m and 70.88 m |
14 |
Choice.B |
The radius is slightly smaller than the correct value, so this option is incorrect |
11.23 m and 70.83 m |
15 |
Choice.C |
The radius is larger than the correct value, so this option is incorrect |
11.82 m and 70.91 m |
16 |
Choice.D |
The radius is slightly larger than the correct value, so this option is incorrect |
11.32 m and 70.82 m |
17 |
Answer |
Option |
A |
18 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
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