Step-2

Title: Circles

Grade: 8-a Lesson: S4-L2

Explanation: Let us verify the answer here with the steps.

Description:

Step Type Explanation Answer

1

Problem

The circumference of a car wheel is 43.96 inches. What is the diameter?

2

Hint

Formula used

\$"Diameter" = 2r\$

3

Clue

Formula used

\$"Circumference" = 2\pi r\$

4

Step

The circumference of a car wheel is

\$43.96 "inches"\$

5

Step

\$2 \pi r = 43.96\$

6

Step

\$r = (43.96) / (2 \pi )\$

7

Step

\$r = (43.96) / (2 \times (3.14) )\$ (∵ π = 3.14)

8

Step

\$r = (43.96) / (6.28 )\$
\$r = 7\$

9

Step

By using the formula,
\$"Diameter" = 2r\$

\$d = 2 \times 7\$
\$14\$

10

Step

Hence, the diameter of a car wheel is

\$14 "inches"\$


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