Question

Savannah and sarah are planning on riding their bikes to a point located 1100 feet from their house. Their bicycle tires have a diameter of 26 inches. How many revoloutions will their tires make on the path from their house to the park

Answer 1

162 revolutions.

Explanation:

Given:

Savannah and Sarah are planning on riding their bikes to a point located 1100 feet from their house.

Their bicycle tires have a diameter of 26 inches.

Question asked:

How many revolutions will their tires make on the path from their house to the park ?

Solution:

To calculate the number of revolutions their tires made, we will first calculate distance traveled by their tire in one revolution by using circumference of circle formula:-

Diameter = 26 inches

Radius,r =
`(Diameter)/(2) =(26)/(2) =13\ inches`

`Circumference\ of\ circle = 2\pi r`

`=2*(22)/(7) *13=(572)/(7) =81.71\ inches`

Convert 1100 feet into inches.

1 feet = 12 inch

1100 feet = 12
`*` 1100 = 13200 inches

Now, by unitary method:

81.71 inches traveled by tires in = 1 revolution

1 inches traveled by tires in =
`(1)/(81.71) \ revolution`

13200 inches traveled by tires in =
`(1)/(81.71)*13200=(13200)/(81.71) =161.54\ revolution`

Thus, total of about 162 revolutions their tires will take from their house to the park.