SOLUTION: The distance from the centre of a circle to a point P outside the circle is 12 mm. The length of the tangent segment from P to the circle is 9 mm. Determine the radius of the cir

Algebra ->  Circles -> SOLUTION: The distance from the centre of a circle to a point P outside the circle is 12 mm. The length of the tangent segment from P to the circle is 9 mm. Determine the radius of the cir      Log On


   



Question 1143360: The distance from the centre of a circle to a point P outside the circle is 12 mm.
The length of the tangent segment from P to the circle is 9 mm. Determine the
radius of the circle.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The tangent to the circle makes a 90 degree angle with the radius
One leg of the right triangle is 9 mm
The hypotenuse is 12 mm
+a%5E2+%2B+b%5E2+=+c%5E2+
+a%5E2+%2B+9%5E2+=+12%5E2+
+a%5E2+=+144+-+81+
+a%5E2+=+63+
+a+=+7.937+
The radius is 7.937 mm