Question

the circumference of the circle is 66 cm, and point c is the center. find the approximate length of the radius and the diameter of the circle. radius (cm) diameter (cm) circumference (cm) 66

Explanation:

Step1: Recall the circumference formula

The formula for the circumference of a circle is $C = 2\pi r=\pi d$, where $C$ is the circumference, $r$ is the radius and $d$ is the diameter.

Step2: Find the radius

Given $C = 66$ cm and $C = 2\pi r$. We can solve for $r$: $r=\frac{C}{2\pi}$. Substituting $C = 66$ cm and taking $\pi\approx3.14$, we have $r=\frac{66}{2\times3.14}=\frac{66}{6.28}\approx10.51$ cm.

Step3: Find the diameter

Since $d = 2r$ or $C=\pi d$, then $d=\frac{C}{\pi}$. Substituting $C = 66$ cm and $\pi\approx3.14$, we get $d=\frac{66}{3.14}\approx21.02$ cm.

Answer:

Radius: approximately $10.51$ cm, Diameter: approximately $21.02$ cm