The athletic department wants to paint the school’s mascot logo on the gym locker room wall. They start by painting a solid blue circle on the wall. What is the maximum diameter the logo may have, using one quart of blue paint? One quart of blue paint covers an area of 78.5 square feet.
Answers
Given : The athletic department wants to paint the school’s mascot logo on the gym locker room wall.
They start by painting a solid blue circle on the wall.
One quart of blue paint covers an area of 78.5 square feet.
To Find : maximum diameter the logo may have, using one quart of blue paint
Solution:
One quart of blue paint covers an area of 78.5 square feet.
let say Diameter = 2x feet
Then Radius = x feet
Area of circle = π ( Radius)²
= π x²
π x² = 78.5
using π = 3.14
=> x² = 25
=> x = 5
=> 2x = 10
Hence maximum diameter the logo may have, using one quart of blue paint
= 10 cm
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