Question

the circumference of circle b is 41 cm. find the approximate length of the radius and the diameter of the circle.

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. Given $C = 41$ cm.

Step2: Find the diameter

Since $C=\pi d$, then $d=\frac{C}{\pi}$. Substituting $C = 41$ cm and taking $\pi\approx3.14$, we have $d=\frac{41}{3.14}\approx13.06$ cm.

Step3: Find the radius

Since $d = 2r$, then $r=\frac{d}{2}$. Substituting $d\approx13.06$ cm, we get $r=\frac{13.06}{2}=6.53$ cm.

Answer:

Radius: $6.53$ cm, Diameter: $13.06$ cm