Lesson Example Discussion Quiz: Class Homework |
Step-1 |
Title: Circles |
Grade: 8-a Lesson: S1-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 |
After simplification |
\$400/π = r^2\$ |
8 |
Step |
After simplification |
\$r^2 = 127.30\$ |
9 |
Step |
After simplification |
\$r = sqrt 127.30\$ |
10 |
Step |
After simplification |
r = 11.28 m |
11 |
Step |
Solving for the circumference © |
C = 2πr |
12 |
Step |
Substitute the value in circumference formula |
\$C = 2π(11.28)\$ |
13 |
Step |
After simplification |
C = 70.88 m |
14 |
Step |
Therefore, the radius of the garden is 11.28 m, and the circumference is 70.88 m. |
|
15 |
Answer |
A |
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