Question

draw a circle of diameter 8 cm. from a point p, 12 cm away from its center, contruct a pair of tangents to the circle and measure their lengths.​

Answer 1

Answer:

Steps of construction :

1. Draw a line segment OA=8 cm.

2.O as centre and radius 4 cm draw a circle.

3. Taking OA as diameter draw another circle which intersects the given circle at B and C.

4. Join A to B and A to C.

Result:AB and AC are required tangents.

∴AB=AC=5.9 cm.

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Answer 2

Answer:

4√10

Radius=diameter/2

=8/2

=4cm

tangent is perpendicular to circle

triangle made by tangent is right angled triangle

By Pythagoras therom

4^2+12^2= length of tangent

( length of tangent) ^2=16+144

=160

=16×10

taking square root

length of tangent=4√10