Question
Dane is building a circular table with a circumference of 145 inches (in.). What are the diameter and radius of the table? Use 3.14 for. Round to the nearest hundredth.
Answers
GPT 3.5
First, let's use the formula for the circumference of a circle:
C = 2πr
Given that the circumference is 145 inches, we can plug that in:
145 = 2 * 3.14 * r
145 = 6.28r
Next, divide both sides by 6.28 to solve for the radius (r):
r = 145 / 6.28
r ≈ 23.09 inches
To find the diameter, we know that the diameter is twice the radius:
d = 2r
d = 2 * 23.09
d ≈ 46.18 inches
So, the radius of the table is approximately 23.09 inches and the diameter is approximately 46.18 inches.
C = 2πr
Given that the circumference is 145 inches, we can plug that in:
145 = 2 * 3.14 * r
145 = 6.28r
Next, divide both sides by 6.28 to solve for the radius (r):
r = 145 / 6.28
r ≈ 23.09 inches
To find the diameter, we know that the diameter is twice the radius:
d = 2r
d = 2 * 23.09
d ≈ 46.18 inches
So, the radius of the table is approximately 23.09 inches and the diameter is approximately 46.18 inches.