What the distance between two parallel tangents to a circle of radius 5 cm?

Given:


Radius of circle (say PO) = 5 cm



Let AB CD be two tangents which meets the circle at P and Q respectively. And, O be the center of circle.


Property: The tangent at a point on a circle is at right angles to the radius obtained by joining center and the point of tangency.


By above property, we can say that distance between two parallel tangents of a circle is equal to its diameter.


Therefore,


PQ = 2 × PO


= 2 × 5 cm


= 10 cm


Hence, Distance between tangents = 10 cm


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