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3.01 Unit Checkpoint: Circles and Composite Figures
UNIT CHECKPOINT:
Circles and Composite Figures
Calculator
What is the circumference of a circle with a radius of 9.7 inches?
Use 3.14 for pi.
Enter your answer as a decimal in the box.
in.
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Sagot :

To find the circumference of a circle, we use the formula:

[tex]\[ C = 2 \pi r \][/tex]

Where:
- [tex]\( C \)[/tex] represents the circumference,
- [tex]\( \pi \)[/tex] (pi) is approximately 3.14,
- [tex]\( r \)[/tex] is the radius of the circle.

Given the radius [tex]\( r = 9.7 \)[/tex] inches and using [tex]\( \pi = 3.14 \)[/tex], the circumference calculation proceeds as follows:

1. Substitute the values into the formula:
[tex]\[ C = 2 \times 3.14 \times 9.7 \][/tex]

2. Perform the multiplication step-by-step:
- First, multiply 3.14 by 9.7:
[tex]\[ 3.14 \times 9.7 = 30.458 \][/tex]

- Next, multiply the result by 2 to account for the [tex]\( 2 \pi r \)[/tex] part of the formula:
[tex]\[ 2 \times 30.458 = 60.916 \][/tex]

Therefore, the circumference of the circle is:

[tex]\[ 60.916 \, \text{inches} \][/tex]