Question

sylvia is staining a circular table. it has a circumference of 38 inches. what is its approximate area? youll need to find the diameter then the radius in order to use the area formula. start by filling in the circumference in the formula. c = πd c = 38

Explanation:

Step1: Find the diameter

Given $C=\pi d$ and $C = 38$. So, $d=\frac{C}{\pi}=\frac{38}{\pi}\approx\frac{38}{3.14}\approx12.09$ inches.

Step2: Find the radius

Since $r=\frac{d}{2}$, then $r=\frac{12.09}{2}=6.045$ inches.

Step3: Calculate the area

The area formula of a circle is $A = \pi r^{2}$. Substitute $r = 6.045$ into the formula: $A=\pi\times(6.045)^{2}\approx3.14\times36.54\approx114.6$ square - inches.

Answer:

Approximately 114.6 square - inches