SOLUTION: A chord 30cm long is 20cm from the centre of a circle. Calculate the length of a chord which is 24cm from the centre

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Question 1087174: A chord 30cm long is 20cm from the centre of a circle. Calculate the length of a chord which is 24cm from the centre
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52780)   (Show Source): You can put this solution on YOUR website!
.
0.  First make a sketch.

    Find two right-angled triangles in the sketch.

    Then apply the Pythagorean theorem to these triangles.



1.  Find the radius of the circle from the first condition:

    R =  =  =  =  = 25 cm.



2.  Then calculate the length L of the another chord:

     =  =  =  =  = 7 cm.

Answer. L = 2*7 = 14 cm.

Solved.


Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Put center of the circle at the origin and make the chord 30 cm parallel to the x axis, and above the x-axis. Endpoints of this chord are (-15, 20) and (15, 20).

Radius:



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Calculate the length of a chord which is 24cm from the centre.
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Endpoints of this chord, can be (x, 24) and (-x, 24).



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Length of chord,
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