Question

Emma younger brother and sister went on a carnival ride that has two separate circular track ana's brother rode in a blue car that traveled a total distance of 220 around the track and a sister Road in a green car that travels to total distance of 126 feet around the track and drew of the ride

Answer 1

1. The distances of 220 feet and 126 feet are the circumferences of the two circles. We can see the circumference as a kind of 'perimeter' for a circle.

2. The radius of the circle of Ana's brother in the blue car is as follows:

a. We have that the circumference of a circle is given by the formula:

`C=2\cdot\pi\cdot r`

Then, we need to solve this equation for r. We have that pi = 3.14, and C = 220 feet. Then, we have:

`220=2\cdot\pi\cdot r\Rightarrow r=(220)/(2\pi)\Rightarrow r=(220)/(2\cdot3.14)\Rightarrow r=35.0318`

Rounding to the nearest tenth, we have that the radius is RB = 35.0 feet (or 35 feet).

3. We can apply the same procedure to find the radius of the circle made by Ana's sister in the green car (she traveled 126 feet).

`126=2\cdot\pi\cdot r\Rightarrow r=(126)/(2\cdot3.14)\Rightarrow r=20.0637`

Rounding to the nearest tenth, we have that the radius is RG = 20.1 feet.

4. The difference in the radii of the circles is the difference between the two ones already obtained. Then, we have:

`d=rB-rG=35.0-20.1\Rightarrow d=14.9`

Therefore, the difference is 14.9 feet.