Question

sample problem 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. calculate the diameter of the circle. c = πd 56 = 3.14(d) (\frac{56}{3.14}=d) d = 17.83 the circumference of a circle is 56.52 centimeters. calculate the radius of the circle. > enter the answer in the space provided. use numbers instead of words. centimeters

Explanation:

Step1: Recall the formula for circumference

The formula for the circumference of a circle is $C = \pi d$. Given $C = 56.52$ cm and $\pi=3.14$, we need to find the diameter $d$.

Step2: Rearrange the formula to solve for $d$

We can rewrite $C = \pi d$ as $d=\frac{C}{\pi}$. Substituting $C = 56.52$ and $\pi = 3.14$ into the formula, we get $d=\frac{56.52}{3.14}$.

Step3: Calculate the diameter

$d=\frac{56.52}{3.14}=18$ cm.

Step4: Recall the relationship between radius and diameter

The radius $r$ of a circle is related to the diameter $d$ by the formula $r=\frac{d}{2}$.

Step5: Calculate the radius

Since $d = 18$ cm, then $r=\frac{18}{2}=9$ cm.

Answer:

9