Question

calculate the value using the formula for the circumference of a circle. use 3.14 for π and round to the nearest hundredth. the circumference of a circle is 56 centimeters. sample problem the circumference of a circle is 56 centimeters. calculate the diameter of the circle. c = πd 56 = 3.14(d) 56/3.14 = d d = 17.83 the circumference of a circle is 49.6 inches. calculate the radius of the circle. > enter the answer in the space provided. use numbers instead of words. inches

Explanation:

Step1: Recall radius - diameter relationship

The formula for the radius $r$ of a circle in terms of the diameter $d$ is $r=\frac{d}{2}$, and the formula for the circumference $C$ of a circle is $C = \pi d$. Given $C = 49.6$ inches and $\pi=3.14$. First, from $C=\pi d$, we can find the diameter $d=\frac{C}{\pi}$.

Step2: Calculate the diameter

$d=\frac{49.6}{3.14}\approx15.80$ inches.

Step3: Calculate the radius

Since $r = \frac{d}{2}$, then $r=\frac{15.80}{2}=7.90$ inches.

Answer:

7.90