AB is a chord of length 9 6cm of a circle with centre O and radius 6 cm If - Maths - Circles

Question

AB is a chord of length 9 6cm of a circle with centre O and
radius 6 cm If the tangents at A and B intersect at point P then
find the length PA

Priyanka Kedia · Accepted Answer

Given that: AB = 9 6 cm nd radius OA = 6 cm Construction: join OP

is isosceles and so PO is angle bisector of

So,

So, AR = RB = Â½ AB = 4 8 cm Also, in

, using Pythagoras theorem,

Now,

Hence, the length of PA is 8 cm

AB is a chord of length 9.6cm of a circle with centre O and radius 6 cm. If the tangents at A and B intersect at point P then find the length PA.