LENGTH OF A CHORD IS 8CM,RADIUS IS 5CM CALCULATE THE DISTANCE OF THE CHORD FROM THE CENTER OF THE CIRCLE
hypotenuse = 5
base = 8/2 = 4
3,4,5 right triangle
so
altitude = 3
To calculate the distance of the chord from the center of the circle, we can use the Pythagorean theorem.
1. First, draw a line from the center of the circle to the midpoint of the chord. This line will be perpendicular to the chord and will bisect it. Let's call this line segment "CD".
2. The length of CD is half the length of the chord. So, CD = 8cm / 2 = 4cm.
3. Now, we have a right triangle where the hypotenuse is the radius of the circle (5cm) and one of the legs is CD (4cm). Let's call the other leg "CE".
4. Using the Pythagorean theorem, we can calculate the length of CE. The formula is:
CE^2 + CD^2 = radius^2
CE^2 + 4cm^2 = 5cm^2
CE^2 + 16cm^2 = 25cm^2
CE^2 = 25cm^2 - 16cm^2
CE^2 = 9cm^2
CE = √(9cm^2)
CE = 3cm
Therefore, the distance of the chord from the center of the circle is 3cm.