Question

The word problem below has too little information. Read carefully and then

choose the fact or facts needed to solve the problem.

Carl rode a horse about 15 feet from the center of the carousel. Allison rode
a horse about 10 feet from the center. How much further did Carl's horse
travel in one complete turn of the carousel?

A. Horses on the outside edge are the fastest.

B. Carl's horse travels 90 feet in one turn.

C. Horses near the center are the slowest.

D. Allison's horse travels 60 feet in one turn.

Answer 1

To find out how much further Carl's horse traveled compared to Allison's horse in one complete turn of the carousel, we can use the formula for the circumference of a circle.

Step-by-step explanation:

To calculate how much further Carl's horse traveled in one complete turn of the carousel, we need to compare the distances traveled by Carl's horse and Allison's horse. We are given that Carl's horse is about 15 feet from the center of the carousel, and Allison's horse is about 10 feet from the center. The distance traveled by a horse in one complete turn is equal to the circumference of the circle formed by the carousel, which can be calculated using the formula C = 2πr, where r is the radius of the circle.

Let's plug in the values: For Carl's horse, r = 15 feet. So, C = 2π(15) = 30π feet. For Allison's horse, r = 10 feet. So, C = 2π(10) = 20π feet.

Therefore, Carl's horse traveled an additional distance of (30π - 20π) = 10π feet compared to Allison's horse.