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circle q has a circumference of approximately 50 centimeters. what is t…

Question

circle q has a circumference of approximately 50 centimeters. what is the approximate length of the diameter, d? use 3.14 for π. round to the nearest tenth of a centimeter. 4.0 centimeters 8.0 centimeters 15.9 centimeters 31.8 centimeters

Explanation:

Step1: Recall the formula for circumference

The formula for the circumference of a circle is \(C=\pi d\), where \(C\) is the circumference and \(d\) is the diameter.

Step2: Solve for \(d\)

Given \(C = 50\) cm and \(\pi=3.14\). Rearranging the formula \(C=\pi d\) for \(d\), we get \(d=\frac{C}{\pi}\).
Substitute \(C = 50\) and \(\pi = 3.14\) into the formula: \(d=\frac{50}{3.14}\).
Calculate \(\frac{50}{3.14}\approx15.9\) (rounded to the nearest tenth).

Answer:

15.9 centimeters