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In a circle whose diamtere is 20 inches, a chord is 6 inches from the center. What is the length of the chord?

if you can can you please show how you get your answer so i can kinda understand this alittle more than i do...thank you

2007-05-05 18:32:47 · 4 answers · asked by Case 1 in Science & Mathematics Mathematics

4 answers

Draw circle and chord.
Centre of circle is at O
Chord meets circumference at B,say
Centre of chord is at A,say
In right angle triangle OAB:-
OA = 6 "
OB = 10 "
let x = AB
radius = 10 "
10² = 6² + x²
x² = 64
x = 8
length of chord = 16 "

2007-05-05 22:37:16 · answer #1 · answered by Como 7 · 0 0

The shortest segment connecting the chord to the center will also bisect the segment. Therefore, there will be a right triangle with hypotenuse 10, chord length from center, 6: 10^-6^2=64=b^2--so b=8. Therefore, the chord will be twice 8, or 16 inches long.

2007-05-05 18:39:42 · answer #2 · answered by bruinfan 7 · 0 0

A LOOOOOONG time in the past, whilst i became in severe college in a style on international religions (particular, it became a public college) the subject count of basically precisely how the universe got here into being became reported and we Bible human beings pointed to the account in Genesis; God spoke and it occurred. One woman interior the class, form of hippy-ish and a sprint bit a unfastened-spirit, verbalized the misplaced Chord. We unenlightened became to her and asked "misplaced Chord?" She went onto describe that the angels have been enjoying their music for God and performed one in all those be conscious, a chord, that became so efficient that it positioned into action that which delivered forth all of life. This chord then persevered to commute and became misplaced, probably arising further and further because it traveled by way of time and area. a minimum of that's what the misplaced Chord became defined as to me, some 30+ years in the past. Peace, bill

2016-12-10 20:33:39 · answer #3 · answered by ? 4 · 0 0

i would think the chord is 6 inches long... since u said i was 6 inches from the center... but idk... don't trust me. just trying to help... either 6 or like... 14 inches.

2007-05-05 18:36:31 · answer #4 · answered by caramelle_chica 2 · 0 1

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