Tangent to a Circle
How to solve the tangent to a circle problems: definition, properties, examples, and their solutions.
A tangent to a circle is a line
that touches the circle.
A tangent and a circle have one intersecting point.
From a point that is exterior of the circle,
you can draw two tangents.
The tangent and the radius are perpendicular
at the intersecting point of the circle.
The radius is 5.
So the distance between point A
and the center of the circle is 8 + 5, 13.
The blue tangent and the radius
are perpendicular at point B.
So the given triangle is a right triangle.
The hypotenuse is 13.
And the leg is 5.
So the triangle is a (5, 12, 13) right triangle.
So x = 12.
If two segments from an exterior point
are tangent to a circle,
then those two segments are congruent.
The same colored segments
start from the same point,
and are tangent to the circle.
So the same colored segments are congruent.
So the perimeter P is:
P = 2(7 + 10 + 5).
This is the way to find the perimeter
of the circumscribed polygon.