Question
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. Round to the nearest ten dollars if necessary.


Sagot :

The cost to cover the cirular region with mud is about $2940

How to calculate area?

The circumference of the circular region is about 157 feet. Hence:

circumference = 2π * radius

157 = 2π * radius

Radius = 78.5 / π

The area is given as:

Area = π * radius² = π(78.5 / π)² = 1961.5 ft²

Cost = $1.5 * 1961.5 = $2940

The cost to cover the cirular region with mud is about $2940

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