Find the length of tangent drawn to a circle with radius 7 cm from a point 25 cm away from the
centre.
(a) 24 cm (6) 27 cm ()26 cm (d) 25 cm
Answers
Answered by
0
Answer:
23.9
Step-by-step explanation:
root 575 is answer so it is root of 23.9
Answered by
0
Answer:
24cm
Step-by-step explanation:
Let P be the given point, O be the centre of the circle and PT be the length of tangent from P.
Then, OP=25 cm and OT=7 cm.
Since tangent to a circle is always perpendicular to the radius through the point of contact.
∴∠OTP=90°
In right triangle OTP, we have
OP^2 =OT^2 +PT^2
⇒25^2 =7^2 +PT^2
⇒PT^2 =25^2 −7^2=(25−7)(25+7)=576
⇒PT=24 cm.
Hence, length of tangent from P=24 cm.
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