### a chord of circle is 12cm long,the radius of the circle is 10cm. calculate the...

a chord of circle is 12cm long,the radius of the circle is 10cm. calculate the distance of the mid point of the chord from the centre of the circle?

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EmX
3 weeks ago
This might seem Alittle complex but..it's actually easy.

See image below
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• EmX: According to the image above we can the the radius of the circle, and see how it connects to the chord (/AB/)to make a triangle.

we can simply split that triangle into two to solve and find the height of the triangle which will be the distance of the chord from the centre of the circle.

See below.
3 weeks ago
• EmX: Now using Pythagoras theorems we can find 'd'

Let's call the half of the chord 'c'
See below. If you must. (Lolz).
3 weeks ago
isaaq
3 weeks ago
Chord of the circle = 12 cm.
Half the chord length = 6 cm.
Radius of the circle = 10 cm.
Distance of the midpoint of the chord from the centre of the circle = [10^2–6^2]^0.5 = [100–36]^0.5 = 64^0.5 = 8 cm.
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Chord of the circle = 12 cm.
Half the chord length = 6 cm.
Radius of the circle = 10 cm.
Distance of the midpoint of the chord
from the centre of the circle = [10^2–
6^2]^0.5 = [100–36]^0.5 = 64^0.5 =
8 cm.