Question

Determine the length of the tangent form point25cm away from the centre of a circle of
radius 7cm​

Answer 1

Answer:

length of the tangent is 24

Step-by-step explanation:

• let AP is the tangent from an external point P to the circle.
• the distance from P to centre O is 25 cm
• the length of radius OA is7cm

angle POA=90 ( angle

between tangent with radius)

by pythagoras theorem

OP^2 = AP^2+OA^2

AP^2=OP^2-OA^2

AP^2=(25)^2-(7)^2

AP^2 =625-49

AP =24

therefore,length of tangent is

24cm.

HOPE THIS WILL HELP YOU