Lesson Example Discussion Quiz: Class Homework |
Step-2 |
Title: Semi-circles |
Grade: 8-a Lesson: S4-L5 |
Explanation: Let us verify the answer here with the steps. |
Description:
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Find the diameter of a semi-circle with an area of 50 sq cm. |
|
2 |
Hint |
Formula used |
\$"Area(A)" = (1/2) \times πr^2\$ \$"Diameter(d)" = 2 \times r\$ |
3 |
Step |
Given that, Area(A) of a semi-circle |
A = 50 sq cm |
4 |
Step |
Area of a semi-circle |
A = \$(1/2) \times πr^2\$ ⇒ \$50\$ = \$(1/2) \times πr^2\$ ⇒ \$50 \times 2\$ = \$πr^2\$ ⇒ \$100\$ = \$(3.14) \times r^2\$ ⇒ \$(100)/(3.14)\$ = \$r^2\$ ⇒ \$31.84\$ = \$r^2\$ ⇒ \$\sqrt(31.84)\$ = \$r\$ ⇒ \$5.64\$ = \$r\$ |
5 |
Step |
The diameter of a semi-circle |
\$d = 2 \times r\$ ⇒ \$d = 2 \times (5.64)\$ ⇒ \$d = 2 \times (5.64)\$ ⇒ \$d = 11.28\$ |
6 |
Step |
Hence, the diameter of a semi-circle is |
\$11.28 cm\$ |
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