A circular city park has a sidewalk directly through the middle that is 111 - feet long. If each bag of fertilizer covers 50 square feet, then determine how many bags of fertilizers the Parks and Recreation department needs to use to cover the circular park. Ignore all the sidewalks around and through the park.

Question

Mathematics

Kristin Whitaker

15 September, 14:39

A circular city park has a sidewalk directly through the middle that is 111 - feet long. If each bag of fertilizer covers 50 square feet, then determine how many bags of fertilizers the Parks and Recreation department needs to use to cover the circular park. Ignore all the sidewalks around and through the park.

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Answers (1)

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Denise Quinn · Answer 1

Step-by-step explanation:

The circular city park has a sidewalk directly through the middle that is 111 - feet long. This means that the diameter of the park is 111 feet.

The formula for determining the the area of a circle is expressed as

Area = πr²

Where

r represents the radius of the circular floor.

π is a constant whose value is 3.14

From the information given,

Diameter = 111 feet

Radius = diameter/2 = 111/2 = 55.5 feet.

Area of park = 3.14 * 55.5² = 9671.985 feet²

If each bag of fertilizer covers 50 square feet, then the number of bags needed is

9671.985/50 = 193.44 bags