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. 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 25.12 centimeters. calculate the radius of the circle. > enter the answer in the space provided. use numbers instead of words. centimeters

Explanation:

Step1: Recall the circumference formula

$C = 2\pi r=\pi d$

Step2: Solve for radius when $C = 25.12$ cm and $\pi = 3.14$

Since $C=\pi d$ and $d = 2r$, we can also use $C = 2\pi r$. Rearranging for $r$ gives $r=\frac{C}{2\pi}$. Substitute $C = 25.12$ and $\pi=3.14$ into the formula: $r=\frac{25.12}{2\times3.14}$.

Step3: Calculate the value of $r$

$r=\frac{25.12}{6.28}=4$

Answer:

4