Question

from a point P 40 cm away from the center of the circle a tangent PT of length 32 cm is drawn then find the radius of the circle

Answer 1

Answer:

radius of circle =24 cm

Step-by-step explanation:

tangent form a right angled triangle from its centre

so,

PTO is a right angled triangle where <pto=90 degree

isliye by Pythagoras Theory

PO^2 = PT^2 + OT^2

40^2 = 32^2 + OT^2

1600 = 1024 + OT^2

1600 - 1024 = OT^2

576 = OT^2

OT = √576

OT = 24