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

Answer:

162 revolutions.

Step-by-step 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 = $\frac{Diameter}{2} =\frac{26}{2} =13\ inches$

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

                                        $=2\times\frac{22}{7} \times13=\frac{572}{7} =81.71\ inches$

Convert 1100 feet into inches.

1 feet = 12 inch

1100 feet = 12 $\times$ 1100 = 13200 inches

Now, by unitary method:

81.71 inches traveled by tires in = 1 revolution

1 inches traveled by tires in = $\frac{1}{81.71} \ revolution$

13200 inches traveled by tires in = $\frac{1}{81.71}\times13200=\frac{13200}{81.71} =161.54\ revolution$

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