# Tagged Questions

For questions conserning circles. A circle is a curve composed of points in a plane that are at a fixed distance from a fixed point.

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### Fit circle between points located on unit-sphere

Suppose I have a sphere of points with two coordinates (two angles), all points are located on a unit sphere, so radius of the sphere is one. Now my problem is, I want to find empty circles, or ...
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### Find the side of the pentagon

Let $ABCDE$ be a pentagon inscribed in a circle. Given that $AB=CD$, $BC=2AB$, $AE=1$, $BE=4$, $CE=8$. Find $DE$. I am unable to use the properties of circle in this question. All I could do was fund ...
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### The Equation of a Tangent Line to a Circle at a Point

How do you determine the equation of the tangent line to the circle $(x-4)^2 + (y+3)^2 = 25$ at $P(8,-6)$? Thank you in advance.
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### Limit of ratio of areas of triangles defined by tangents to a circle

Let $AB$ be an arc of a circle. Tangents are drawn at $A$ and $B$ to meet at $C$. Let $M$ be the midpoint of arc $AB$. Tangent drawn at $M$ meet $AC$ and $BC$ at $D$, $E$ respectively. ...
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### Equation of a circle with a center that passes through a point [duplicate]

Write the equation of the circle with center at (-1,3) and passes through the point (2,-4).
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### What is the probability of a circle sector being chosen at random?

What should I do in order to find the probability of the sector? Can you please give me the answer to this. It will really help me out if you do.
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### How do I find the area of this shaded circle? [closed]

This circle has been bugging me for a while, and I do not know how to solve it. Can someone help me find the area of the shaded circle? It would really help me.
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### How small can an external angle of a circumference be if made of tangents?

Lets imagine the angle ABC where the lines AB and CB are tangents to a circumference which center is C. Lets assume that the points where the line AB touches the circumference is P and the point where ...