a ferris wheel has a diameter of 42 feet. it rotates 3 times per minute. approximately how far will a…

a ferris wheel has a diameter of 42 feet. it rotates 3 times per minute. approximately how far will a passenger travel during a 5 - minute ride?\n132 feet\n659 feet\n1,978 feet\n3,956 feet

a ferris wheel has a diameter of 42 feet. it rotates 3 times per minute. approximately how far will a passenger travel during a 5 - minute ride?\n132 feet\n659 feet\n1,978 feet\n3,956 feet

Answer

Explanation:

Step1: Calculate the circumference of the Ferris - wheel

The formula for the circumference of a circle is $C=\pi d$, where $d$ is the diameter. Given $d = 42$ feet, so $C=\pi\times42\approx3.14\times42 = 131.88$ feet.

Step2: Calculate the number of rotations in 5 minutes

The Ferris - wheel rotates 3 times per minute. In 5 minutes, the number of rotations $n=3\times5 = 15$ times.

Step3: Calculate the total distance traveled

The total distance $D$ a passenger travels is the product of the circumference and the number of rotations. So $D = C\times n$. Substitute $C\approx131.88$ feet and $n = 15$ into the formula, we get $D\approx131.88\times15=1978.2\approx1978$ feet.

Answer:

1,978 feet