+389
The radius of a circle is 14. How far is a chord of length 12 away from the center of the circle?
+128731 Let a radius drawn through the chord bisect the chord. And, by Euclid, such a radius will meet that chord at right angles.
And the center of the circle, the intersection point of the radius and the chord and the intersection point of the radius with the circle will form a right triangle
And......by the Pythagoren Theorem, the distance - d - that the chord lies from the center of the cirdle is :
sqrt [radius^2 - (1/2 the chord length)^2] =
sqrt (14^2 - 6^2) = sqrt(160) units = 4*sqrt(10) units
+128731 Let a radius drawn through the chord bisect the chord. And, by Euclid, such a radius will meet that chord at right angles.
And the center of the circle, the intersection point of the radius and the chord and the intersection point of the radius with the circle will form a right triangle
And......by the Pythagoren Theorem, the distance - d - that the chord lies from the center of the cirdle is :
sqrt [radius^2 - (1/2 the chord length)^2] =
sqrt (14^2 - 6^2) = sqrt(160) units = 4*sqrt(10) units
