In 2004, the world's largest carousel was located at the house on the rock, in spring green, wisconsin. suppose that the center of the carousel is at the origin and that one of the animals on the circumference of the carousel has coordinates (24, 32). if one unit of the coordinate plane equals 1 foot, what is the diameter of the carousel

1. You have that the Standard form for the equation of a circle when its center is at the origin, is:

 x²+y²=r²

 2. You must calculate the radius. Then:

 r=√(x²+y²)

 x=24
 y=32

 3. When you substitute the values of "x" and "y" into the equation r=√(x²+y²), you obtain:

 r=√(x²+y²)
 r=√(24²+32²)
 r=√(576+1024)
 r=√1600
 r=40 feet

 4. Therefore, the diameter (D) of the circle, is:

 D=2r
 D=2(40 feet)
 D=80 feet

38+105= 143, 39+104=143, and you will find then adding the numbers on opposite sides, moving inwards yields the answer 138 every time. because of this, you’re going to multiply 138 times the number of pairs, which is 34. therefore, 34*138= 4692(i’m sorry if it’s the wrong numbers, but it’s the right concept)