Question

In a circle with centre P. AB is a diameter
and point C is a point other than
A and B. If radius of a circle is 34 cm
and AC = 32 cm. then BC =​

Answer 1

Answer:

Step-by-step explanation:

OX is the perpendicular distance from centre O to the chord AB

∴AX=XB

Now,

AX+XB=AB

⇒2AX=AB

⇒2AX=30

⇒AX=  

2

30

​  

 

⇒AX=15

Again,

AO+OD=AD

⇒2AO=AD

⇒2AO=34

⇒AO=17

△AOX is a right angled triangle

∴AO  2 =OX  2  +AX  2

 ⇒17  2

=OX  2  +15  2

 

⇒OX  2  =17  2  −15  2

 

⇒OX  2 =  64

​  

 

⇒OX=8cm