SOLUTION: In a circle with centre P,a chord AB is parallel to a tangent & inersects the radius drawn from a point of contact at the midpoint of the radius .If AB=12,FIND THE RADIUS OF THE CI

Question 470206: In a circle with centre P,a chord AB is parallel to a tangent & inersects the radius drawn from a point of contact at the midpoint of the radius .If AB=12,FIND THE RADIUS OF THE CIRCLE.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Let T be the point of tangency given in the problem. Then radius PT is perpendicular to the tangent as given. Since chord AB is parallel to the tangent line, it is also perpendicular to radius PT. Let point C be the intersection of AB and PT. Then Triangle PCB is a right triangle, with PC = 3 (as given), and CB = 6 (half of chord AB, since PT also bisects AB). Hence radius , by direct use of the Pythagorean theorem.
RELATED QUESTIONS
the distance from point x to the centre of a circle is 10cm. if the radius of the circle... (answered by ankor@dixie-net.com)

a chord is drawn away from the centre of a circle of radius 5cm.calculate the length of... (answered by Theo,greenestamps)

As shown in the diagram, a circle with centre A and radius 9 is tangent to a smaller... (answered by Edwin McCravy)

A chord 7cm long is drawn in a circle of radius 3.7cn. Calculate the distance of the... (answered by addingup)

AB is a chord of a circle, centre O, with radius 17cm.If AB=16cm, find the distance of O... (answered by ikleyn)

In a circle a chord 30 inches long is parallel to a tangent and bisects the radius drawn... (answered by solver91311,ikleyn)

A chord of a circle is 10mm. It is parallel to a tangent and bisects the radius drawn to... (answered by ankor@dixie-net.com)

Hi. In this question it asks for AB to be found. It is a circle with the center point... (answered by RAY100)

A chord is drawn 3cm away from the centre of a circle of radius 5cm. Calculate the length (answered by Alan3354)