8:- Two parallel chord AB and CD are3 9cm apart and lie on the opposite sides of the centre of - Maths - Circles

Question

8:- Two parallel chord AB and CD are3 9cm apart and lie on the
opposite sides of the centre of a circle
If AB = 1 4 cm and CD=4cm , Find the radius of the circle

Brijendra Pal · Accepted Answer

Hi,

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We know that perpendicular from the center bisec chord so CM = 2 cm and AN = 0
7 cm so let MO = x so ON = 3
9 - xnow radius will be same so using pythagorus theorem in triangle CMO and ONMCO2  = OA222+x2= 3
9-x2+0 49 4+x2= 15 21+x2-7 8x +0
49  using x-y2= x2+y2-2xy7 8x = 11
7 x = 1
5 so in triangle CMO CO= radius = x2+4= 2
25+4= 2 5 cm

8:- Two parallel chord AB and CD are3.9cm apart and lie on the opposite sides of the centre of a circle . If AB = 1.4 cm and CD=4cm , Find the radius of the circle .

8:- Two parallel chord AB and CD are3.9cm apart and lie on the opposite sides of the centre of a circle .
If AB = 1.4 cm and CD=4cm , Find the radius of the circle .