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from a point C the length of the tangent to a circle in 8 centimetre and the distance of a from the centre is 10 centimetre the radius of the circle is

Posted by Jay Hanuman 4 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 4 years, 10 months ago

Given , a circle with centre O and radius 8 cm. An external point P from where a tangent is drawn to meet the circle at T.
as OP = 10 cm ; radius OT = 8 cm As OT⊥PT = 8 cm
In right ΔOTP, we have
OP2=OT2+PT2
102=82+PT2
PT2=100−64=36
So, PT = 6
Therefore , length of tangent = 6 cm

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