Question

Point A lies in the exterior of a circle with center P and radius 8cm A tangent from A touches the circles at B If AB=15cm.Find PA​

Answer 1

Step-by-step explanation:

here is the diagram above

given points Alies outside the circle

and point P is the centre of the circle

and B is the point from which the tangent passes through it.

so,

Given radius is 8cm

and we know that radius always make π/2 angle or 90° with the tangent .

tangent is AB(15cm) and radius is BP(8cm)

and we need to find the length AP.

in the above diagram we can crealy see that by applying Pythagoras formula we can get the length AP

by applying the formula

AP^2=BP^2+AP^2

AP=√BP^2+AP^2

AP=√15^2+8^2

AP√225+64

AP=√279

AP=17cm

hence length of ap is 17cm