Physics, asked by ANGELNIVI, 1 year ago

{\textbf{Subject : Mathematics}}

{\textbf{Chapter : Tangency}}


A point P is 13 cm from the centre of the circle. The length of tangent drawn from P to the circle is 12 cm. Find the radius of the circle.​

Answers

Answered by GhaintMunda45
2

Given : P is a point at distance of 13cm from the centre of a circle O. The length of tangent drawn from P to the circle is 12 cm.

It is required to measure the radius of the circle.

Now, ∠OTP= 90°

( ∵ a tangent to a circle is ⊥ to the radius through the point of contact).

∴ In right angle triangle OTP,

OP² = OT²+ TP²

Or, 13² = OT² + (12)²

Or, 169-144 = OT²

Or, 25 = OT²

∴ OT = 5 cm

Hence, Radius = 5 cm

Answered by Abhishek474241
3

\huge\star{\mathfrak\color{brown}{HEY\:FRIEND}}\star

\color{brown}{HERE\:IS\:YR\:ANS}

\underline\color{Green}{TANGENCY}

GIVEN

P IS 13CM FRM THE CENTRE

LENGTH OF TANGENT IS 12

P=13

Q=12

TO FIND

RADIUS OF CIRCLE=?

R=?

THN ,

WE KNOW THAT THE TANGENT OF CIRCLE IS PERP TO THE R OF CIRCLE

ACCORDING TO THE PYTHAGORAS THEROM

=+

=P²-Q²

=169-144

R=25

R=5

HENCE,

RADIUS IS 5

\fbox\color{brown}{HOPE\:IT\:HELPS}

\huge{\mathcal{THANKS}}

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