Question

What is the value of b?

22.5

11.25

12

6

Answer 1

11.25 seems to be the answer they want, despite the lack of important information.

Answer 2

11.25

Explanation:

The perpendicular drawn on chord passes through the center of a circle divides the chord in to two equal parts

Refer the attached figure

So, By theorem AB = BC and DE = EF

In ΔFEO and ΔCBO

OE = OB(Given )

FO=CO(Radius of circle) (Hypotenuse of right angled triangle)

∠OEF=∠OBC =90°(right angle)

So, ΔFEO ≅ ΔCBO By RHS property

So, EF=BC(corresponding parts of congruent triangles are congruent)

BC =
`(1)/(2) AC =(1)/(2) (22.5)=11.25`

So, EF=11.25

So, Value of b is 11.25