chord AB is 3cm from the center of the circle, the radius of the circle = 5cm, calculate the length of the chord​

The lenght of the chord is 8 cm.

Step-by-step explanation:

The chord AB is 3 cm from the center of the circle. If we visualize the chord (in a horizontal position) and the radius of the circle (in a diagonal position) we can notice that both of them forms a triangle, with the following dimentions:          

b: is the base =?

s: is one side of the triangle = distance of the chord from the center of the circle = 3 cm

h: is the hipotenuse = radius of the circle = 5 cm

To find the base (or the ohter side of the triangle) we need to use Pitagoras:

The above value is the half of the chord AB, so:

Therefore, the lenght of the chord is 8 cm.

I hope it helps you!    

ok then what happened.

hello from mrbilldoesmath!

answer:   x^2 + y^2 = 1024

discussion:

the equation of a circle with center (h,k) and radius "r" is

(x-h)^2 + (y-k)^2 = r^2.

in our case

(x-0)^2 + (y-0) ^2 = 32^2 = 1024

you,

mrb