Agallon of paint will cover about 400 square feet in a single coat. to the nearest tenth, how many gallons will be required to cover a circular region with a radius of 40 feet?

0.314 gallon is required to cover a circular region with a radius of 40 feet

Step-by-step explanation:

Given

a gallon of paint will cover about 400 square feet in a single coat

To Find:

Number of gallons  required to cover a circular region with a radius of 40 feet = ?

Solution:

Step 1: Finding Area of the circular region

The  area of the circular region, A  =

where r is the radius

Now substituting r =  40 , we get

A =

Step 2: Finding the number of gallons of paint required

To cover 400 sq feet  = 1 gallon

so to cover 1 square feet  = gallon

Now to cover 125.6 ft we need

=> 0.314 gallon

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point