Question

If OC = 9 cm and AB = 40 cm, then the length of OB is ... .

Answer 1

Answer:

OC=9cm

so,OA=9cm

both are the radius of same circle

angle OSB=90°

because AB is the tangent

so,OAB is a right angle triangle

OA^2+AB^2=OB^2

9^2+40^2=OB^2

=> OB^2=81+1600

=> OB^2=1681

=> OB^2=(41)^2

=> OB=41

so, the length of OB is 41 cm

Answer 2

Answer:

41cm

Step-by-step explanation:

as it is a triangle,an angle is 90^0

40^2=(9)^2+(x )^2

or,1600=81+x^2

or,x^2=1681

or,x=41