name: Patel fatima
• A point P is 26 cm away from the centre of a circle and the length of the tangent drawn from P to
the circle is 24 cm. Find the radius of the circle.
(a) 11 cm (b) 10 cm (c) 16 cm (d) 15 cm.
Answers
Answer
The radius of the circle is 10 cm.
The radius of the circle is 10 cm.Given : A point p is 26cm away from the centre of the circle and the length of thr tangent drawn from p to the circle is 24cm .
The radius of the circle is 10 cm.Given : A point p is 26cm away from the centre of the circle and the length of thr tangent drawn from p to the circle is 24cm .To find : The radius?
Solution :
Solution :Let r be the radius and O be the center of a circle on which PT is a tangent from point P.
Solution :Let r be the radius and O be the center of a circle on which PT is a tangent from point P.In right angled triangle OTP.
Solution :Let r be the radius and O be the center of a circle on which PT is a tangent from point P.In right angled triangle OTP.Applying Pythagoras theorem,
Solution :Let r be the radius and O be the center of a circle on which PT is a tangent from point P.In right angled triangle OTP.Applying Pythagoras theorem,OT^2+PT^2=OP^2
Solution :Let r be the radius and O be the center of a circle on which PT is a tangent from point P.In right angled triangle OTP.Applying Pythagoras theorem,OT^2+PT^2=OP^2r^2+24^2=26^2
Solution :Let r be the radius and O be the center of a circle on which PT is a tangent from point P.In right angled triangle OTP.Applying Pythagoras theorem,OT^2+PT^2=OP^2r^2+24^2=26^2r^2=676-576
Solution :Let r be the radius and O be the center of a circle on which PT is a tangent from point P.In right angled triangle OTP.Applying Pythagoras theorem,OT^2+PT^2=OP^2r^2+24^2=26^2r^2=676-576r^2=100
r= 10
Therefore, The radius of the circle is 10 cm.
Step-by-step explanation:
the tangent drawn from any point on the circle it is perpendicular
so angle between tangent and radius is 90 degree
26 square is equal to 24 square minus x square
26^2 = 676
24^2= 576
square root of 100
is 10