A circle has radius 26cm and length of it's chord is 48cm. find how far is the chord from the center of the circle?

The chord is 10cm from the center of the circle

Step-by-step explanation:

Here, we want to find the distance of the chord from the center of the circle

A line from the center to the chord will

divide the chord into two parts

each will have a measure of 48/2 = 24 cm

So now we have a right/angled triangle with hypotenuse of 26

To find the height, we use Pythagoras’ theorem which states that the sum of the squares of the other sides equal the square of hypotenuse

h ^2 + 24^2 = 26^2

h^2 = (26-24)(26+24)

h^2 = 100

h = square root of 100, which is 10