Question

If A, B are two distinct points on the circumference of the circle. A line is drawn joining them and from the centre of the circle one more line is drawn and the point it intetesects with the line is C.

Now ,
1) interpret if AC > BC.
2) Find AC if AB = 8 cm.
3) Find AC, if BC = 6 cm.

Answer 1

Hey there!

We know that, a perpendicular drawn from the centre onto a chord always bisects the chord.The above statement is a theorem.

Let the l be the length of chord XY, If Z is the point of the bisector, XZ = YZ = XY/2 .

Now,
1) The given condition is wrong as We have seen that AC = BC .

2) Given, AB = 8cm .
AC = BC = AB/2 = 8/2 = 4cm.

3) Given,
BC = 6 cm.
BC= AB/2
AB = 6*2 = 12cm .
Now, AC = AB/2 = 12/2cm.

Answer 2

hay!!

Dear friend -

According to the question we know that
The perpendicular drown from the center on a chord always bisector the chord

Then,

The length of chord is xy
if we let the O is the point of the bisector ,

=> XO = YO

$= \frac{xy}{2}$
so,

1. interpret if AC > BC

=> AC=BC according to the question the condition is wrong

2. find AC if AB = 8cm

We know that AB=8cm

Then,

=> AC= BC
$= \frac{ab}{2}$

$= \frac{8}{2}$

=> 4cm.

3.find AC if BC=6cm

=> we know that BC=6cm

so,

BC=AB/2

we know that AB=12

Then,

AC=> AB/2

AC=>12/2

AC=> 6

I hope it's help you