Question

Difficulty: EasyCircular Area and Circumference Applications

A landscaper is designing a circular flower bed with a diameter of 1010 feet. She needs to install a flexible plastic border completely around the outer edge of the flower bed. What is the total length, in feet, of the plastic border needed? Use π=3.14\pi = 3.14.

Answer: 31.4 feet

Answer

31.4
The problem asks for the length of a border around a circle, which is the circumference. The circumference is found by multiplying the diameter (1010 feet) by π\pi (3.143.14), resulting in 31.431.4 feet.

Step-by-Step Solution

1
Determine the required measurement
Calculate the circumference
The plastic border goes around the outer edge of the flower bed.
2
Select the correct formula
C=π×dC = \pi \times d
We are given the diameter (1010 feet) and need the circumference.
3
Calculate the circumference
3.14×10=31.43.14 \times 10 = 31.4
Substitute π=3.14\pi = 3.14 and d=10d = 10 into the formula.

Key Concept

Circumference of a circle
Estimated Time:45s
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