what is the other name of radius at the point of contact
Answers
Tangent
Tangent is the other name of radius at the point of contact.
The other name of radius at the point of contact is Tangent.
Explanation:
A tangent to a circle is a line that intersects the circle at exactly one point, the point of tangency or the tangential point. An important result is that the radius from the center of the circle to the tangential point is perpendicular to the tangent line.
Given:
A circle with center O. With tangent XY at point of contact.
To prove: OP ⊥ XY
Proof:
Let Q be point on XY
connect OQ
Suppose it touches the circle at R.
Hence,
OQ > OR
OQ > OP (Hence OP = OR radius)
same will be the case with all other points of circle.
Therefore, Op is smallest line that connects XY.
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