Step-3

Title: Perimeter of semicircle

Grade: 7-a Lesson: S1-L5

Explanation:

Step Type Explanation Answer

1

Problem

The radius of a semicircle is 14m.Find the perimeter.

2

Formula:

Perimeter of a semicircle.

\begin{align} P &= \pi r + d \\ \end{align}

3

Step

Substitute \$22/7\$ for \$pi\$ and 14 for r.

\$ P = \frac{22}{7} (14) + 2(14) \$

4

Step

Cancel out common factor.

\$ P = \frac{22}{\cancel7^1} (\cancel{14}^2) + 2(14) \$

5

Step

Multiply.

\$ P &= 44 + 28 \$

6

Step

Add.

\$ P = 72 \$

7

Answer

The perimeter is \$72 m\$.


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