SOLUTION: Heyy i really need some help on this question.. give me a hand pleasee. In a circle with radius 7cm, a chord is 3cm from the center. How long is another chord located 3 cm from

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Question 71136: Heyy i really need some help on this question.. give me a hand pleasee.
In a circle with radius 7cm, a chord is 3cm from the center. How long is another chord located 3 cm from the center?
Those are the choice of answers, could you please give me the steps of how to do it please!

A) 2 (root)10
B)7
C)4 (root)10
D)14
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I get 4%2Asqrt%2810%29
The chord is 3 cm from the center. Draw a radius through the center of
the chord. It will be perpendicular to the chord.
Now draw a radius to one of the intersections of the chord with the circle
You are given that the radius = 7
Now you have a length of 3 cm to the center of the chord, whiich is a
leg of a right triangle.
The hypotenuse is the radius = 7
(1/2 the chord) = sqrt%287%5E2+-+3%5E2%29
sqrt%2849+-+9%29
sqrt%2840%29
(1/2 the chord) = 2%2Asqrt%2810%29
So, the chord = 4%2Asqrt%2810%29