Question

find the missing measurements for each circle. you can use 3.14 as an approximation for pi. the circumference of the circle is 32 cm, and point a is the center. find the approximate lengths of the radius and the diameter of the circle. you can use your zearn calculator to help you solve. you may consider writing your answers to the hundredths place. radius (cm) diameter (cm) circumference (cm) 32

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 $C = 32$ cm and $\pi\approx3.14$.

Step2: Find the radius

From $C = 2\pi r$, we can solve for $r$. Rearranging the formula gives $r=\frac{C}{2\pi}$. Substitute $C = 32$ cm and $\pi = 3.14$ into the formula: $r=\frac{32}{2\times3.14}=\frac{32}{6.28}\approx5.10$ cm.

Step3: Find the diameter

Since $d = 2r$ or from $C=\pi d$ (so $d=\frac{C}{\pi}$), substituting $C = 32$ cm and $\pi = 3.14$ gives $d=\frac{32}{3.14}\approx10.19$ cm.

Answer:

Radius (cm): 5.10
Diameter (cm): 10.19