Question

circle o has a circumference of approximately 250π ft. what is the approximate length of the diameter, d? 40 ft 80 ft 125 ft 250 ft

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.

Step2: Substitute the given circumference into the formula and solve for \( d \).

We know that \( C = 250\pi \) ft. Substituting into \( C = \pi d \), we get \( 250\pi=\pi d \). Dividing both sides by \( \pi \), we have \( d = \frac{250\pi}{\pi}=250 \) ft? Wait, no, wait, let's check again. Wait, no, maybe I made a mistake. Wait, the circumference formula is \( C = \pi d \) or \( C = 2\pi r \). Wait, if \( C = \pi d \), then \( d=\frac{C}{\pi} \). Wait, the given circumference is \( 250\pi \), so \( d=\frac{250\pi}{\pi}=250 \)? But wait, the options have 250 as an option. Wait, but let me check again. Wait, maybe I misread the circumference. Wait, the problem says "approximately \( 250\pi \) ft". So \( C = \pi d \), so \( d = \frac{C}{\pi}=\frac{250\pi}{\pi}=250 \) ft. So the answer is 250 ft.

Answer:

D. 250 ft