What is the difference between the radii of the two circular tracks? Answer the questions to find out.

1. Are the distances of 220 feet and 126 feet the radii, diameters, or circumferences of the two circles? Explain.

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Ana's younger brother and sister went on a carnival ride that has two separate circular tracks. Ana's brother rode in a blue car that travels a total distance of 220 feet around the track. Ana's sister rode in a green car that travels a total distance of 126 feet around the track. Ana drew a sketch of the ride. Blue car Oreen car What is the difference between the radii of the two circular tracks? Answer the questions to find out. 1. Are the distances of 220 feet and 126 feet the radii, diameters, or circumferences of the two circles? Explain

Step-by-step explanation:

Given two circular track

Length of the track 1 is 220ft

Length of the track 2 is 126ft

Explanation

The circumference of a circle is also called the perimeter of a circle.

Perimeter of a plane shape is the sum of all the lengths of the plane shape.

So, The perimeter or circumstances of a circle is total length of the circle.

Now, given that the total length of track 1 is 220ft, this implies that the circumference of the circle is 220ft

P1 = 220ft

Also, for track 2, since the length is 126ft, then, the circumference of the second track is 126ft.

P2 = 126ft

To calculate the diameter of each track.

The circumference of a circle can be determined using the formula

P = πd

Where d is diameter and P is perimeter or circumference of the circle

Then,

d = P / π

So, for track 1

d1 = P1 / π

d1 = 220 / π

d1 = 70.03 ft.

For track 2

d2 = P2 / π

d2 = 126 / π

d2 = 40.11 ft.

So, the radius of a circle can be determined from the diameter

Radius. = diameter / 2

So,

For track 1

r1 = d1 / 2

r1 = 220 / π / 2

r1 = 110 / π

r1 = 35.01 ft

Also, for track 2

r2 = d2 / 2

r2 = 126 / π / 2

r2 = 63 / π

r2 = 20.05 ft

The difference between the two track radius is

∆r = r1 - r2

∆r = 110 / π - 63 / π

∆r = (110 - 63) / π

∆r = 47 / π

∆r = 14.96 ft.

∆r ≈ 15 ft

The difference between the radii of the two circular tracks is approximately 15ft