Question

the length of a tangent frome a point A at distance 10cm frome the center of the circle is 8cm find the radius of the circle
​

Answer 1

Answer:

GIVEN ;

AP is a tangent of length 8cm

OA = 10cm

OP is the radius

<APO = 90° (RADIUS perpendicular to tangent )

in right angles triangle APO,

BY Pythagoras theorem,

AO² = AP² + OP²

10² = 8² + r²

r² = 100- 64

r² = 36

r = 6 cm

Radius = 6 cm