A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18 \pi18π18, pi meters.
What is the area AAA of the cross section of the column?

Step-by-step explanation:

step 1

Find the radius of the circular cross section

The circumference is given by the formula

we have

substitute

solve for r

simplify

step 2

Find the area if the cross section of the column

The area of the cross section is equal to the area of a circle

we have

substitute

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.

circle area = pi * radius^2

if diameter = 10 then radius = 5

circle area = pi * 5^2

circle area = pi * 25

circle area = 78.5398163397 square units

step-by-step explanation: