The length of a chord of a circle of radius 10 cm is 12 cm. Some the distance of the chord from the centre of the circle.

draw a perpendicular from the centre to the chord.

draw the radius to the end of the chord.
You have a right-angled triangle with one leg of 6 and a hypotenuse of 10.
Use Pythagoras

To find the distance of the chord from the centre of the circle, we can use the Pythagorean theorem.

1. First, draw a diagram of the circle with its radius and chord.
2. Draw lines from the center of the circle to the endpoints of the chord, and label them as radii.
3. Since the radius of the circle is 10 cm, we can label each radius as 10 cm.
4. Now, we have a right triangle with one leg measuring 10 cm and the hypotenuse measuring 12 cm (the length of the chord).
We need to find the length of the other leg, which represents the distance of the chord from the center of the circle.
5. Using the Pythagorean theorem, we can apply the formula:
a^2 + b^2 = c^2, where a and b are the legs of the triangle and c is the hypotenuse.
Plugging in the known values, we get:
10^2 + b^2 = 12^2.
Simplifying this equation, we have:
100 + b^2 = 144.
6. Subtracting 100 from both sides, we get:
b^2 = 44.
7. Taking the square root of both sides, we find:
b ≈ 6.63 cm.
So, the distance of the chord from the center of the circle is approximately 6.63 cm.