A local event planner wants to cover a circular region with mud for an obstacle course. The region has a circumference of about 157 feet. The cost to cover 1 square foot with mud is $1.50. Approximate the cost to cover the region with mud.

$2942.27

Step-by-step explanation:

Given the circumference of a circle, we can get the radius which will then help us get the area and finally estimate the cost of tiling.

C=2πr

Where C is circumference and r is radius

Making r the subject of the formula then

r=C/2π

Substituting 157 ft for C then

r=157/2π=24.9873260654276 ft

Area, A is given by A=πr²

A=π*(24.9873260654276)²=1961.50509613606

Rounded off, the area is 1961.51 ft²

Given the cost per unit square foot as $1.5 then the overall cost will be

$1.5*1961.51=$2,942.265

Rounded off as $2942.27

m∠5 + m∠3 = m∠1   is true.

m∠5 + m∠6 = 180 is true

m∠2 +m∠3 = m∠6   is true

m∠2 +m∠3 +m∠5 = 180   is true