What length of plastic barrier is needed to enclose a circular flower bed with a 5-foot diameter? Useπ = 3.14.

Rationale

15.7 feet of plastic barrier is needed to enclose a circular flower bed with a 5-foot diameter.

This is calculated by using the formula for the circumference of a circle which is C = πd, where 'C' is the circumference, 'π' is a constant approximately equal to 3.14, and 'd' is the diameter of the circle. Given a diameter of 5 feet, the circumference (or the length of the barrier needed) would be 3.14 * 5 = 15.7 feet.

A (19.625 feet) YOUR ANSWER

This length is incorrect because it seems to be calculated using the formula πr^2, which is the formula for the area of a circle not the circumference. It is important to understand the difference, the area is the total space inside the circle while the circumference is the total distance around the circle.

B (15.7 feet) CORRECT

This is the correct length. It is calculated using the formula for the circumference of a circle (C = πd). Given a diameter of 5 feet, the circumference (or the length of the barrier needed) would be 3.14 * 5 = 15.7 feet.

C (31.4 feet) YOUR ANSWER

This length is incorrect because it seems to be calculated using the formula 2πd, which is twice the correct formula for the circumference of a circle. This calculation may have mistakenly doubled the diameter of the circle.

D (7.85 feet) YOUR ANSWER

This length is incorrect because it seems to be calculated using the formula πr, which is half the correct formula for the circumference of a circle. This calculation may have mistakenly used the radius instead of the diameter.

Conclusion

The length of the plastic barrier needed to encircle a circular flower bed with a 5-foot diameter is 15.7 feet. This is found by using the formula for the circumference of a circle (C = πd). The remaining options are incorrect as they appear to be calculated using incorrect formulas or incorrect values for the radius or diameter of the circle. Understanding the difference between radius and diameter, as well as the formulas for area and circumference, is crucial for solving such problems.

What length of plastic barrier is needed to enclose a circular flower bed with a 5-foot diameter? Useπ = 3.14.

15.7 feet of plastic barrier is needed to enclose a circular flower bed with a 5-foot diameter.

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