Question

Carl rode a horse about 15 f ode a horse about 15 feet from the center of the car om the center of the carousel. Allison r ousel. Allison rode a horse about 10 f a horse about 10 feet from the center om the center. How much fur . How much further did Carl' ther did Carl's horse s horse travel in one complete turn of the carousel?

Answer 1

Carl's horse traveled approximately 31.4 feet further than Allison's horse in one complete turn of the carousel. The distances were calculated using the circumference formula for each horse based on their distance from the centre of the carousel.

Step-by-step explanation:

The question involves comparing the distances traveled by horses on a carousel based on their distance from the center of the ride. To find out how much further Carl's horse traveled compared to Allison's, we need to calculate the circumference of the circular paths each horse took during one complete turn of the carousel and then find the difference between these two distances.

To calculate the circumference (C) of a circle, we use the formula C = 2πr, where π (pi) is approximately 3.14159 and r is the radius of the circle, in this case, the distance from the center of the carousel to the horse.

For Carl's horse:
CCarl = 2π(15 feet) ≈ 2π×15 ≈ 94.2 feet

For Allison's horse:
CAllison = 2π(10 feet) ≈ 2π×10 ≈ 62.8 feet

The difference in the distances traveled by the horses in one complete turn is CCarl - CAllison, which is approximately 94.2 feet - 62.8 feet = 31.4 feet. Therefore, Carl's horse travelled about 31.4 feet further than Allison's horse in one complete turn.

Answer 2

5 feet.

Step-by-step explanation:

We have been given that about 15 feet from the center of the carousel. Allison rode a horse about 10 feet from the center of the carousel.

To find the distance covered by Carl's horse more than Allison's horse we will subtract covered by Allison's horse from the distance covered by Carl's horse.

`\text{The more distance covered by Carl's horse}=\text{15 feet-10 feet}`

`\text{The more distance covered by Carl's horse}=\text{5 feet}`

Therefore, Carl's horse traveled 5 feet further in one complete turn of the carousel.