Geometric Properties
Let's see if you guys remember your geometry.......
A tangent, in a circle, is a line, ray, or segment that intersects the exterior part of the circle in exactly one point; so, if tangent A=14 and the diameter=tangent A squared + angle bac, then what is the length of the segment from the middle of the circle, point B, to the endpoint of tangent A, point C?
Angle bac is midpoint of the circle, to the point of tangency, to the endpoint of tangent A
A tangent, in a circle, is a line, ray, or segment that intersects the exterior part of the circle in exactly one point; so, if tangent A=14 and the diameter=tangent A squared + angle bac, then what is the length of the segment from the middle of the circle, point B, to the endpoint of tangent A, point C?
Angle bac is midpoint of the circle, to the point of tangency, to the endpoint of tangent A
Labels: mathemagic, SharedPuzzle
posted by Eric at
5:28 AM
7 Comments:
i would tyr to figure this out but i havent taken a serious enough geometry class.
im only in eigth grade.
but maybe i'll ask my dad in a little hes like a math genious.
idk.
i may be baclk with an answer later.
-Amanda K.
A tangent is a line from outside a circle or curve that intersects in such a way that it is continuation of said circle or curve, but in a linear direction.
Any line, ray, or segment that originated in the center of the circle could never be tangent to any point on the circle since it would bisect it, not intersect it.
ok..... segment BA is the radius not a tangent, segment, line, or ray AC is the tangent; if you're going to act like a know-it-all, at least be right
Assume tangent A = 14 is the length of a line which has one endpoint (A) at a tangent point ...
(length BA)^2 + (length AC)^2 = (length of segment from B to C)^2
Given (tangent A)^2 + (Angle BAC) = (Diameter) then,
Diameter = 14^2 + 90 = 286
Radius = (length BA)
Diameter = 2*Radius
So, (length BA) = 286/2 = 143
Then, 143^2 + 14^2 = (length BC)^2
(length BC) = Square Root [20449 + 196] = Sq Root [20645] = 143.683680354
holy crap i hate these so ill agree w/ 143.683680354 cause it looks intelligent
tannen is wrong, to use angles as a distance measure it has to be radians not degrees so the final answer is 99.77251571
L^2 = A^2 + ((A^2 + Pi/2)/2)^2
99.7725
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