SOLUTION: The endpoints of a diameter of a circle are Q(4, -2) and R(3,6). Find the area in terms of x

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Question 658432: The endpoints of a diameter of a circle are Q(4, -2) and R(3,6). Find the area in terms of x
Answer by MathLover1(20849) About Me  (Show Source):
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The endpoints of a diameter of a circle are Q(4, -2) and R(3,6).
in order to find a diameter, we need to find the distance between Q(4, -2) and R(3,6)
Solved by pluggable solver: Distance between two points in two dimensions
The distance (denoted by d) between two points in two dimensions is given by the following formula:

d=sqrt%28%28x1-x2%29%5E2+%2B+%28y1-y2%29%5E2%29

Thus in our case, the required distance is
d=sqrt%28%284-3%29%5E2+%2B+%28-2-6%29%5E2%29=+8.06225774829855+


For more on this concept, refer to Distance formula.


so, a diameter of a circle is: d=8.06
if radius is r, then r=4.03
so, the area will be:
A=r%5E2%2Api
A=4.03%5E2%2A3.14
A=16.2409%2A3.14
A=50.996426..round it to whole number
A=51