Problema Solution
in a circle whose radius is 6 centimeters, a chord of 2 centimeters is drawn. how far is the chord from the center of the circle
Answer provided by our tutors
Make a good drawing and notice the isosceles triangle with two sides equal to the radius of the circle and one side equal to the chord. Then use the Pythagorean Theorem (the height of this triangle is the distance we are looking for):
h^2 = 6^2 - (2/2)^2
h^2 = 36 - 1
h^2 = 35 and h>0
h = 5.92 cm
The chord is 5.92 cm far from the center of the circle.