Final answer:
The area of circle B can be estimated by multiplying the area of circle A by a scale factor of 2.25. The circumference of Lin's bike wheels can be calculated by dividing the total distance traveled by the number of rotations.
Step-by-step explanation:
To find the area of circle B, we need to know the radius or diameter. Since the diameter of circle B is three times the diameter of circle A, the radius of B is 1.5 times the radius of A. The area of a circle is calculated using the formula A = πr^2. Therefore, the area of circle B can be estimated by using the formula A = π(1.5r)^2 = π(2.25r^2), where r is the radius of circle A. If the area of circle A is 500 in², then the area of circle B would be approximately 1125 in².
To find the circumference of Lin's bike wheels, we can use the formula C = πd, where C is the circumference and d is the diameter. We are given that Lin's wheels rotate 55 times to travel 100 meters. In one rotation, the distance traveled would be equal to the circumference of the wheel. Therefore, the circumference of Lin's bike wheels can be calculated by dividing the total distance traveled (100 meters) by the number of rotations (55 times). This gives us a circumference of approximately 1.82 meters.
Learn more about Estimating the area of a circle and calculating the circumference of a wheel