The radius is 45 units
What is tangent?
A tangent of a circle is defined as a straight line that touches or intersects the circle at only one point. A tangent is a line that never enters the circle’s interior.
Tangent Properties
The tangent has two important properties:
- A tangent touches a curve at only one point.
- A tangent is a line that never enters the circle’s interior.
- The tangent touches the circle’s radius at the point of tangency at a right angle.
Tangent Radius Theorem: The tangent at any point of a circle is perpendicular to the radius through the point of contact.
Given:
NM = 336 and NP = 294As,
As, radius is perpendicular to the tangent of circle
Using Pythagoras theorem
KN² = KM² + MN²
(KP+ NP)² = KM² + 336²
(KP+ 294)² = KM² + 336²
As, both KP and KM are radius of the circle.
KM² + 2*294*KM+ 294² = KM² + 336²
588*KM= 336² - 294²
KM= 26460/588
KM= 45 Units
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