Question

calculate the length of tangent from a point 10cm away from the center of a circle of radius6cm​

Answer 1

Answer:

HOPE IT HELPS..!!!

1. Draw a circle and take its centre as "O" .
2. Now from "O" draw a straight line (10cm) to a point "A" outside the circle.
3. From "A" draw a tangent to the circle such that it touches the circle , name their point of contact as "B". Join OB.

After these steps u will get an triangle OAB.

We know that radius to the tangent is perpendicular (NCERT theorem 10.1)

According to the question, OB=6cm , OA=10cm  

By pythagoras theorem, (OA is hypotenuse)

OA^2 = OB^2 + AB^2

100 = 36 +AB^2

100-36 = AB^2

$\sqrt{64}$ = AB

THEREFORE, AB=8cm

Length of tangent is 8cm