Final answer:
Kyra's bike wheel, with a diameter of 2 feet, turned approximately 47.75 times to travel a distance of 300 feet. This is calculated by determining the circumference of the wheel and then dividing the distance traveled by the circumference.
Step-by-step explanation:
To determine how many times Kyra's bike wheel turned, we need to calculate the circumference of the wheel and then see how many times this circumference fits into the distance she traveled. The circumference (C) of a circle (which represents the distance covered in one full turn of the wheel) is calculated using the formula C = πd, where d is the diameter of the wheel.
Given that the diameter of Kyra's bike wheel is 2 feet, we can calculate the circumference as follows:
- C = π * 2 feet
- C = 2π feet (since π is approximately 3.14159)
Now, divide the total distance traveled by the circumference of the wheel to get the number of turns:
- Number of turns = Total distance traveled / Circumference of the wheel
- Number of turns = 300 feet / (2π feet)
- Number of turns = 300 / (2 * 3.14159)
- Number of turns = 300 / 6.28318
- Number of turns = approximately 47.75
Therefore, the wheel turned approximately 47.75 times.