The radius of the circle is 25 cm and the length of one of its chord is 40cm. Find the distance of the chord from the centre.
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ob= 15 cm solution is given in photo
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Hello :)
Here's ur solution -
Given,
r = 25cm
chord AB = 40cm
We know that,
perpendicular from centre bisects the chord.
So the Length of chord AM = 20cm
Since, ∆0AM is a right angled triangle.
We apply -
OA² = AM² + OM² ( Pythagoras theorem)
= 25² = 20² + 0M²
OM = √(25² - 20²)
OM = √(625 - 400)
OM = √225
OM = 15
Hence, the distance of the chord from centre is 15cm.
Hope it helps!
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