Question

shelby buys a set of 8 circular coasters. each coaster has a diameter of 4 inches. to the nearest tenth, what is the area of each coasters surface in square inches? select one: a. 6.3 b. 12.6 c. 50.2 d. 100.8

Explanation:

Step1: Find the radius

The radius $r$ of a circle is half of the diameter $d$. Given $d = 4$ inches, so $r=\frac{d}{2}=\frac{4}{2}=2$ inches.

Step2: Calculate the area

The formula for the area $A$ of a circle is $A=\pi r^{2}$. Substitute $r = 2$ into the formula: $A=\pi\times(2)^{2}=4\pi$. Using $\pi\approx3.14$, we get $A\approx4\times3.14 = 12.56$. Rounding to the nearest tenth, $A\approx12.6$ square - inches.

Answer:

B. 12.6