1- find the distance between two parallel tangent of a circle of radius 4 cm draw fig
the two tangent from an external point p to a circle with centre o are pa and pb if pab=70 degree find aob
if angle between two radii of a circle is 130 find the angle between tangent at the end of radii
1.
O is the centre of the circle. l and m are two parallel tangents of the circle.
Radius of the circle = 4cm
Distance between two parallel tangents
= AB
= OA + OB
= 4cm + 4cm
= 8cm
Thus, distance between the parallel tangents l and m is 8cm.
3.
O is the centre of the circle. Given, ∠POQ = 130º
PT and QT are tangents drawn from external point T to the circle
∴ ∠OPT = ∠OQT = 90º [ Radius is perpendicular to the tangent at point of contact]
In quadrilateral OPTQ,
∠PTQ + ∠OPT + ∠OQT + ∠POQ = 360º
∴ ∠PTQ + 90º + 90º + 130º = 360º
⇒ ∠PTQ + 310º = 360º
⇒ ∠PTQ = 360º – 310º = 50º
Thus, the angle between the tangents is 50º.
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