How do i compute the track of two circles one with a diameter of 100 feet, the other with a diameter of 200 feet? The question asks me to compute the length of the track with these two circles touching each other at a single point.

To compute the length of the track formed by two circles touching each other at a single point, you first need to calculate the radius of each circle. The radius is half the diameter of a circle.

For the circle with a diameter of 100 feet, the radius would be 100/2 = 50 feet.
For the circle with a diameter of 200 feet, the radius would be 200/2 = 100 feet.

Now, to find the length of the track, you need to measure the circumference of each circle. The circumference is given by the formula: circumference = 2 * π * radius.

For the circle with a radius of 50 feet:
circumference = 2 * π * 50 = 100π feet (approximately 314.16 feet)

For the circle with a radius of 100 feet:
circumference = 2 * π * 100 = 200π feet (approximately 628.32 feet)

Since the two circles touch each other at a single point, the length of the track would be equal to the sum of the two circumferences minus the diameter of one of the circles (since that part is shared).

Therefore, the length of the track = (100π + 200π) - 100 feet = 300π - 100 feet (approximately 942.48 feet).

So, the length of the track formed by the two circles touching each other at a single point would be approximately 942.48 feet.