Question

find the legth of tangent to a circle from a point at a distance 29cm from the center of the circle of radius 20cm​

Answer 1

Answer:

Let O be the center of circle, OP = 29 cm (given) Radius of a circle = 20 cm Let T be any point on the circumference of the circle, then PT is the tangent to the

From Figure: OT is radius and PT is the tangent This implies, OT ⊥ PT

In right ∆OPT,

By Pythagoras Theorem:

OP2 = OT2 + PT2 (29)2

= (20)2 + PT2 841

= 400 + PT2 PT2

= 441 or PT = 21

Length of tangent PT is 21 cm

diagram in pic

Step-by-step explanation:

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