Math, asked by yeradlachaithanya, 2 months ago

In the adjacent circle length of chord
AB= 8cm OC ⊥  and OC = 3cm then
radius of Circle is​

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Answered by sonukumarbokaro328
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In figure, if OA = 5 cm, AB = 8 cm and OD is perpendicular to AB, then CD is equal to

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asked Feb 1, 2018 in Class IX Maths by navnit40 (-4,939 points)

In figure, if OA = 5 cm, AB = 8 cm and OD is perpendicular to AB, then CD is equal to

(a) 2 cm

(b) 3 cm

(c) 4 cm

(d) 5 cm

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answered Feb 1, 2018 by aman28 (-872 points)

(a) We know that, the perpendicular from the centre of a circle to a chord bisects the chord.

AC = CB = 1/2 AB = 1/2 x 8 = 4 cm

given OA = 5 cm

AO2 = AC2 + OC2

(5)2 = (4)2 + OC2

25 = 16 + OC2

OC2 = 25-16 = 9

OC = 3 cm

[taking positive square root, because length is always positive]

OA = OD [same radius of a circle]

OD = 5 cm

CD = OD – OC = 5 – 3 = 2 cm

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