a chord 26cm long is locm away from the centre of circle .find the radius of the circle.?

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AlimiA

10 Apr, 2021

Mathematics

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VTPETERS2002
5 years ago

(Radius of circle)^2 = (chord length/2)^2+ (distance of chord from the centre@^2

= (26/2)^2+10^2

= 169+100

= 269

Camillaret14
5 years ago

chord=26
distance=10
radius=x

26/2=13
in the right-angled triangle
phytagoras theorem=h^2=o^2 + a^2
hypotenuse=x
opposite=13
adjacent=10
x^2=10^2 + 13^2
x^2=100 + 169
x^2=269
x=√(269
x=16.4012194669
radius is 16cm

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