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if the distance of the chord from the radius is 5cm and the length of the chord is 4cm find the radius of the circle

Posted by Syed Mir 8 years, 9 months ago

CBSE > Class 09 > Mathematics

1 answers

Shweta Gulati 8 years, 9 months ago

Let AB be the chord of length 4 cm. C be its mid-point

. O be the center of the circle. Join OA [OA becomes the radius]

Given OC = 5 cm

AC = BC = 4/2 = 2 cm [The perpendicular drawn from the center to a chord bisect the chord]

OAC is a right angled triangle

OA²=OC²+AC²[byPythagorasTheorem]

OA²= 5²+2²

= 25+4

=29

OA= \(\sqrt29\)cm

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