Question

circle o has a circumference of approximately 44 in. what is the approximate length of the diameter, d? 7 in. 14 in. 22 in. 44 in.

Explanation:

Step1: Recall the formula for the circumference of a circle

The formula for the circumference \( C \) of a circle is \( C=\pi d \), where \( d \) is the diameter. We can solve for \( d \) by rearranging the formula: \( d = \frac{C}{\pi} \).

Step2: Substitute the given circumference into the formula

We are given that \( C\approx44 \) inches. Using \( \pi\approx\frac{22}{7} \) (a common approximation for \( \pi \) in such problems), we substitute \( C = 44 \) and \( \pi=\frac{22}{7} \) into the formula for \( d \):

\( d=\frac{44}{\frac{22}{7}} \)

To divide by a fraction, we multiply by its reciprocal:

\( d = 44\times\frac{7}{22} \)

Step3: Simplify the expression

Simplify \( 44\times\frac{7}{22} \). We can cancel out the common factor of 22 in the numerator and denominator. \( 44\div22 = 2 \), so:

\( d=2\times7 = 14 \) inches.

Answer:

14 in (corresponding to the option "14 in")