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sergij07 [2.7K]
3 years ago
6

is the diameter of a circle with center p. the coordinates of the endpoints of the diameter are (1, 3) and (6, 6). what are the

coordinates of point p?
Mathematics
1 answer:
Rashid [163]3 years ago
6 0
You need to find midpoint of the diameter. To find x coordinate you take (x1 + x2)/2 = (1+6)/2 = 7/2 And same thing for y. ( y1 + y2)/2 = (3+6)/2 = 9/2.
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Hello from MrBillDoesMath!

Answer:  

@ =   pi/3 (or 60 degrees) or @ = 7 pi/3 (or 420 degrees)


Discussion:

Let "@' denote the angle "theta". We are asked to find @ in the interval [0, 4 pi)

where

4cos(@) - 2 = 0.                Adding 2 to both sides

4 cos(@) - 2 +2 = 2  =>

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cos(@) = 2/4 = 0.5


This implies that @ =   pi/3 (or 60 degrees) or @ = (pi/3 + 2pi) = 7 pi/3 (or 420 degrees)


Thank you,

MrB

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Read 2 more answers
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