the radius of a circle is 13cm and its one of its chord is 10cm. find the distance of the chord from the centre
draw a diagram. Draw a radius to each end of the chord. Draw a radius which bisects the chord.
Now you have two 5-12-13 right triangles.
To find the distance of a chord from the center of a circle, you can use the Pythagorean theorem.
In this case, the chord and the radius form a right-angled triangle. Let's call the distance from the center to the chord point as "x".
Using the Pythagorean theorem, we can say:
(13cm)^2 = x^2 + (10/2)^2
169cm^2 = x^2 + 25cm^2
Subtracting 25cm^2 from both sides, we get:
144cm^2 = x^2
Taking the square root of both sides gives us:
x = 12cm
Therefore, the distance of the chord from the center of the circle is 12cm.