Question

Melanie is walking a path around a circular path to view all of the artwork painted on the cement edge. The circular fountain has a radius of 30 feet. If Melanie only walked around the fountain once, how far did she travel?

Answer 1

Melanie walked 188.4956 feet around the circular path with a radius of 30 feet. The calculation is based on the formula for the circumference of a circle: C = 2πr.

Step-by-step explanation:

The question asks how far Melanie traveled if she walked once around a circular path with a radius of 30 feet. To find the distance Melanie traveled, we calculate the circumference of the circle, as that represents the distance around it.

Step-by-step Solution:

1. First, recall the formula for the circumference of a circle, which is C = 2πr, where C is the circumference, π (pi) is approximately 3.1415926, and r is the radius of the circle.
2. Next, we substitute the given radius, which is 30 feet, into the formula: C = 2 × 3.1415926 × 30.
3. Calculate the result: C = 2 × 3.1415926 × 30 = 188.4956 feet.

Melanie traveled 188.4956 feet around the fountain by walking the path once.

Answer 2

18.8 feet, 59.1 feet to the nearest tenth
Step-by-step explanation:
The diameter is the line drawn that divides the circle into two while the circumference is the perimeter of the circle. Both are a measure of the radius of the circle.
The diameter D = 2r where r is the radius of the circle
The circumference = 2Πr = ΠD where Π = 22/7
Given that the circular fountain has a radius of 9.4 feet
Its diameter = 2 × 9.4 feet = 18.8 feet
The circumference = 22/7 × 18.8 feet
=59.09 feet
≈ 59.1 feet to the nearest tenth