I believe the equation is wrong
Wow ! There's so much extra mush here that the likelihood of being
distracted and led astray is almost unavoidable.
The circle ' O ' is roughly 98.17% (π/3.2) useless to us. The only reason
we need it at all is in order to recall that the tangent to a circle is
perpendicular to the radius drawn to the tangent point. And now
we can discard Circle - ' O ' .
Just keep the point at its center, and call it point - O .
-- The segments LP, LQ, and LO, along with the radii OP and OQ, form
two right triangles, reposing romantically hypotenuse-to-hypotenuse.
The length of segment LO ... their common hypotenuse ... is the answer
to the question.
-- Angle PLQ is 60 degrees. The common hypotenuse is its bisector.
So the acute angle of each triangle at point ' L ' is 30 degrees, and the
acute angle of each triangle at point ' O ' is 60 degrees.
-- The leg of each triangle opposite the 30-degree angle is a radius
of the discarded circle, and measures 6 .
-- In every 30-60 right triangle, the length of the side opposite the hypotenuse
is one-half the length of the hypotenuse.
-- So the length of the hypotenuse (segment LO) is <em>12 </em>.
Answer:
(x-2)2+(y-5)2=92
or
(x-2)2+(y-5)2=81
Step-by-step explanation: Center:(2,5)
The center of a circle is a point from which all points on a circle are the same distance.
Radius:9
The radius of a circle is the length of a line segment from its center to its perimeter.
The radius is typically denoted as "r" or "R".
Diameter:18
The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle.
Circumference or (or Permieter) = 2*π*R = 2*3.14*9 = 56.5486677646163
The circumference of a circle is the distance around it.
Area:254.469004940773
Area of a Circle is the amount of space occupied by the circle.The area of a circle is p times the radius squared, which is written: A = π*R2.
The standard form for the equation oif a circle is
(x-a)2+(y-b)2=r2
And in our particular case:
(x-2)2+(y-5)2=92
(x-2)2+(y-5)2=81
The general form for the equation of a circle is
x2 + y2 + Ax + By + c = 0
We can get the general form by expanding the equation of the standard form
(x-a)2+(y-b)2=r2
(x-2)2+(y-5)2=92
(x-2)2+(y-5)2=81
x2-4x+4+y2-10y+25=81
x2+y2-4x-10y-52=0
