Find the circumference of each circle. Use [3.14] for the value of [pi]. Round your answer to the nearest hundredth. If r = 11 yd.
Understand the Problem
The question is asking to calculate the circumference of a circle given the radius (r = 11 yards) and the value of pi (3.14). The answer needs to be rounded to the nearest hundredth.
Answer
The circumference is $69.08$ yards.
Answer for screen readers
The circumference of the circle is $69.08$ yards.
Steps to Solve
- Identify the formula for circumference
The formula for the circumference ($C$) of a circle is given by:
$$ C = 2\pi r $$
where $r$ is the radius and $\pi$ (pi) is a constant approximately equal to 3.14.
- Substitute the values
Given that the radius $r = 11$ yards and using $\pi = 3.14$, substitute these values into the formula:
$$ C = 2 \times 3.14 \times 11 $$
- Perform the multiplication
Calculate step-by-step:
First calculate $2 \times 3.14$:
$$ 2 \times 3.14 = 6.28 $$
Now, multiply this by the radius $11$:
$$ C = 6.28 \times 11 $$
- Calculate the final multiplication
Now compute the final product:
$$ C = 6.28 \times 11 = 69.08 $$
- Round to the nearest hundredth
The result is $69.08$, which is already rounded to the nearest hundredth.
The circumference of the circle is $69.08$ yards.
More Information
The circumference is the total distance around the circle. Knowing how to derive it using the radius provides essential insights into circle geometry.
Tips
- Confusing the formula for circumference with the area formula ($A = \pi r^2$).
- Forgetting to multiply by $2$ in the circumference formula.
- Not rounding the answer correctly; make sure to observe significant figures.
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