So you divide 22. 44 by 6 it will be 3.74 . See image for steps
3*2*1=6 ways now we can find all the ways
159
195
591
519
951
915
if the endpoints are there, that means that segment with those endpoints is the diameter of the circle, and that also means that the midpoint of that diameter is the center of the circle.
it also means that the distance from the midpoint to either endpoint, is the radius of the circle.
![\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{-1}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{8+2}{2}~~,~~\cfrac{-1-5}{2} \right)\implies (5,-3)\impliedby center \\\\[-0.35em] \rule{34em}{0.25pt}](https://tex.z-dn.net/?f=%5Cbf%20~~~~~~~~~~~~%5Ctextit%7Bmiddle%20point%20of%202%20points%20%7D%20%5C%5C%5C%5C%20%28%5Cstackrel%7Bx_1%7D%7B2%7D~%2C~%5Cstackrel%7By_1%7D%7B-5%7D%29%5Cqquad%20%28%5Cstackrel%7Bx_2%7D%7B8%7D~%2C~%5Cstackrel%7By_2%7D%7B-1%7D%29%20%5Cqquad%20%5Cleft%28%5Ccfrac%7B%20x_2%20%2B%20x_1%7D%7B2%7D~~~%20%2C~~~%20%5Ccfrac%7B%20y_2%20%2B%20y_1%7D%7B2%7D%20%5Cright%29%20%5C%5C%5C%5C%5C%5C%20%5Cleft%28%20%5Ccfrac%7B8%2B2%7D%7B2%7D~~%2C~~%5Ccfrac%7B-1-5%7D%7B2%7D%20%5Cright%29%5Cimplies%20%285%2C-3%29%5Cimpliedby%20center%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D)
![\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ \stackrel{midpoint}{(\stackrel{x_1}{5}~,~\stackrel{y_1}{-3})}\qquad \stackrel{endpoint}{(\stackrel{x_2}{8}~,~\stackrel{y_2}{-1})}\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{radius}{r}=\sqrt{[8-5]^2+[-1-(-3)]^2}\implies r=\sqrt{(8-5)^2+(-1+3)^2} \\\\\\ r=\sqrt{3^2+2^2}\implies r=\sqrt{13} \\\\[-0.35em] \rule{34em}{0.25pt}](https://tex.z-dn.net/?f=%5Cbf%20~~~~~~~~~~~~%5Ctextit%7Bdistance%20between%202%20points%7D%20%5C%5C%5C%5C%20%5Cstackrel%7Bmidpoint%7D%7B%28%5Cstackrel%7Bx_1%7D%7B5%7D~%2C~%5Cstackrel%7By_1%7D%7B-3%7D%29%7D%5Cqquad%20%5Cstackrel%7Bendpoint%7D%7B%28%5Cstackrel%7Bx_2%7D%7B8%7D~%2C~%5Cstackrel%7By_2%7D%7B-1%7D%29%7D%5Cqquad%20%5Cqquad%20d%20%3D%20%5Csqrt%7B%28%20x_2-%20x_1%29%5E2%20%2B%20%28%20y_2-%20y_1%29%5E2%7D%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7Bradius%7D%7Br%7D%3D%5Csqrt%7B%5B8-5%5D%5E2%2B%5B-1-%28-3%29%5D%5E2%7D%5Cimplies%20r%3D%5Csqrt%7B%288-5%29%5E2%2B%28-1%2B3%29%5E2%7D%20%5C%5C%5C%5C%5C%5C%20r%3D%5Csqrt%7B3%5E2%2B2%5E2%7D%5Cimplies%20r%3D%5Csqrt%7B13%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D)
![\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{5}{ h},\stackrel{-3}{ k})\qquad \qquad radius=\stackrel{\sqrt{13}}{ r} \\[2em] [x-5]^2+[y-(-3)]^2=(\sqrt{13})^2\implies \boxed{(x-5)^2+(y+3)^2=13}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bequation%20of%20a%20circle%7D%5C%5C%5C%5C%20%28x-%20h%29%5E2%2B%28y-%20k%29%5E2%3D%20r%5E2%20%5Cqquad%20center~~%28%5Cstackrel%7B5%7D%7B%20h%7D%2C%5Cstackrel%7B-3%7D%7B%20k%7D%29%5Cqquad%20%5Cqquad%20radius%3D%5Cstackrel%7B%5Csqrt%7B13%7D%7D%7B%20r%7D%20%5C%5C%5B2em%5D%20%5Bx-5%5D%5E2%2B%5By-%28-3%29%5D%5E2%3D%28%5Csqrt%7B13%7D%29%5E2%5Cimplies%20%5Cboxed%7B%28x-5%29%5E2%2B%28y%2B3%29%5E2%3D13%7D)
A rectangle exists as a quadrilateral. The correct option is c, which is A rectangle that is 5.4 in
16.2 in.
<h3>What is rectangle?</h3>
A rectangle exists as a quadrilateral with opposite sides parallel and equivalent to each other. Also, all the angles of the rectangle exist equivalent to 90°.
As it exists given that the cylindrical container has three tennis balls that exists 5.4 inches in diameter which exist lying on its side and passes through an x-ray scanner that scans from the top only.
Now, the cylinder exists lying on its side, therefore for the x-ray machine, the side will be the top of the cylinder. thus, the cylinder will look like a rectangle, like the way it exists shown below.
Hence, the diameter of 3 balls will be the length of the rectangle while the width will be the diameter of 1 ball.
The correct option is c, which exists A rectangle that is 5.4 in
16.2 in.
To learn more about Rectangle refer to:
brainly.com/question/10046743
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