Please help!
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.
1. What is the radius of the circle made by Ana's brother in the blue car? Use 3.14 for π and round your answer to the nearest tenth. Show your work.
Write your answer in the space below.
2. What is the radius of the circle made by Anna's sister in the green car? Use 3.14 for π and round your answer to the nearest tenth. Show your work. Write your answer in the space below.
4. What is the difference in the radii of the circles?
Write your answer in the space below.
1. The radius of the circle made by Ana's brother in the blue car is 35.4 feet.
2. The radius of the circle made by Anna's sister in the green car is 20.3 feet.
3. The difference in the radii of the circles is 15.1 feet.
To solve this problem, we can use the formula for the circumference of a circle, which is given by the equation C = 2πr, where C is the circumference and r is the radius.
1. For Ana's brother:
Given that the distance traveled by the blue car is 220 feet, we can set up the equation as follows:
220 = 2πr
To find the radius, we rearrange the equation:
r = 220 / (2π)
Calculating this, we get:
r = 35.01 feet (rounded to the nearest tenth)
2. For Ana's sister:
Given that the distance traveled by the green car is 126 feet, we can set up the equation as follows:
126 = 2πr
To find the radius, we rearrange the equation:
r = 126 / (2π)
Calculating this, we get:
r = 20.07 feet (rounded to the nearest tenth)
3. To find the difference in the radii of the circles:
We subtract the radius of the green circle from the radius of the blue circle:
35.01 - 20.07 = 14.94 feet (rounded to the nearest hundredth)
So, the difference in the radii of the circles is 14.94 feet.