Question

Using Area of a Circle to Find the Radiusand/or Diameter of Circle.The athletic department wants to paint the school's mascot logo onthe gymlocker room wall. They start by painting a solid blue circle onthe wall. What is the maximum diameter of the logo if only one quartof blue paint is used?H = Tr?1 quart ofblue paintcovers78.5 ft.

Answer 1

Answer:28.26

Explanation:

Answer 2

Step 1: Find out the area of the circle

Step 2: Area of a circle using an approximation of π = 3.142

`\begin{gathered} A\text{ = }\pi r^2 \\ \text{Area = 78.5ft} \\ \pi\text{ = 3.142} \\ 78.5ft\text{ = 3.142}* r^2 \\ \text{divide both side by 3.142} \\ (78.5)/(3.142)\text{ = }(3.142r^2)/(3.142) \\ 24.98=r^2 \\ r^2\text{ = 25} \\ r\text{ = }\sqrt[\square]{25} \\ r\text{ = 5ft} \end{gathered}`

Step 3: Maximum diameter of the logo

`\begin{gathered} \text{Diameter = 2 x radius} \\ \text{Diameter = 2 x 5ft} \\ \text{Diameter = 10ft} \end{gathered}`

Hence the maximum diameter of the logo = 10ft