C is the conter of the circle whase radiouds is 10cm find the distence of the charal from the center of the length of the chord is 12 cm
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Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
The radius divides the chord into two equal parts.
Let the length of the chord be AB.
Let point P be the point where the radius cuts the chord.
The lengths:
AP = BP
We divide this by 2 to get :
12/2 = 6 cm
The radius to the point where the chord cuts the circle gives the hypotenuse of the right angled formed.
Since the radius is 10 cm we have a right angled triangle whose sides are as follows :
a = h
b = 6
c = 10 cm
By Pythagoras theorem we can get the length a = h
We apply this as follows :
10^2 - 6^2 = 64
h = Square root of 64 = 8
So the distance of the chord from the center is 8 cm.
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