Question

Find the length of the tangent drawn from a
point, whose radius of circle is 25 cm and
distance from the centre of a circle is
25 cm​

Answer 1

Answer:

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=90o

In right triangle OTP, we have

OP2=OT2+PT2

⇒252=72+PT2

⇒PT2=252−72=(25−7)(25+7)=576

⇒PT=24 cm.

Hence, length of tangent from P=24 cm.

Answer 2

Answer:

let angle ∆OTP is =90 °

in a right trangle OTP we have

o p square is equals to a OTsquare + PT square

25 square = 7square + PT square

25 square - 7 square=( 25 - 7 ) (25 + 7 )=576

= PT is equal to 24 cm

Step-by-step explanation:

hope it helps you