A Ferris wheel has a 50 meter radius. How many kilometers will a passenger travel during a ride if the wheel makes 10 revolutions? Round your answer to the nearest tenth of a kilometer.

pi D = 100 pi = distance once around

1000 pi = distance ten times around
1000 pi meters/1000meters/km = pi km
= 3.14 = 3.1 km

3.1k

This is actually in my homework and its the exact same question! I didnt understand it so its cool that I found how to do it! thx

Well, let's calculate it! The circumference of a circle can be found using the formula C = 2πr, where C is the circumference and r is the radius. So for our Ferris wheel, the circumference would be 2π(50) = 100π meters.

Since the passenger will be making 10 revolutions, we need to multiply the circumference by 10 to find out how far they will travel. So, 10 * 100π = 1000π meters.

Now, to convert this to kilometers, we divide by 1000 (since there are 1000 meters in a kilometer), giving us 1000π / 1000 ≈ 3.14 kilometers.

So, the passenger will travel approximately 3.14 kilometers during the ride. But let's be honest, they'll probably feel like it's much farther, especially if they're afraid of heights!

To find how many kilometers a passenger will travel during a ride, we need to calculate the distance covered by the Ferris wheel during 10 revolutions.

First, let's find the circumference of the Ferris wheel, which represents the distance covered in one revolution:

Circumference = 2 * π * radius

Since the radius of the Ferris wheel is given as 50 meters, we substitute this value into the equation:

Circumference = 2 * π * 50

Next, calculate the total distance covered by the Ferris wheel during 10 revolutions:

Total distance = 10 * Circumference

Finally, convert the answer to kilometers by dividing the total distance by 1000 (since 1 kilometer equals 1000 meters):

Total distance in kilometers = Total distance / 1000

Let's calculate now:

Circumference = 2 * π * 50 = 100 * π ≈ 314.16 meters
Total distance = 10 * 314.16 = 3141.6 meters
Total distance in kilometers = 3141.6 / 1000 ≈ 3.1 kilometers

So, a passenger will travel approximately 3.1 kilometers during a ride on the Ferris wheel.

im actually looking for an answer myself