Calculating the Developed Length of a 90 Degrees Segment Bend

What is the developed length for a 90 degrees segment bend with a radius of 20 inches?

Final answer: The developed length of a 90 degrees segment bend with a radius of 20 inches is calculated as 1/2 πr, which equals 10π inches, or approximately 31.42 inches.

Answer:

The developed length of a 90 degrees segment bend with a radius of 20 inches is 10π inches, or approximately 31.42 inches.

To calculate the developed length of a 90 degrees segment bend with a radius of 20 inches, we use the formula for the circumference of a circle. Since the segment bend covers 1/4 of the circle, we only need to calculate 1/4 of the circumference to find the developed length.

The formula for the circumference of a circle is 2πr. To find the developed length of a 90 degrees segment bend, we multiply 1/4 of the circumference by the radius. This gives us the formula L = (1/4) x (2πr) = 1/2 πr. Plugging in the given radius of 20 inches, we get L = 1/2 x π x 20 inches = 10π inches, or approximately 31.42 inches.

Therefore, the developed length of a 90 degrees segment bend with a radius of 20 inches is 31.42 inches.