Math, asked by ankitha960, 1 year ago

a point p is 10 cm from the center of the circke . the length of tangent drawn from a point pnto a circle is 8cm. find the radius of the circle​

Answers

Answered by ramanshankar003
4

this forms a right angle triangle

10^2-8^2

=100-64

=25

r^2=25

r=5cm

pls mark brainliest


vmr: 100-64 is 36
ankitha960: ok i got
ankitha960: tat root is 6
ramanshankar003: srry
ankitha960: 100-64 is 36 not 25
Answered by vmr
1

Answer:

6 cm

Step-by-step explanation:

If you draw the diagram then p is a point outside the circle.

The distance of that point p from the center is 10 cm.

Draw a line from P to the circle so that the line is a tangent to the circle.

Join the center of circle and the point of intersection of the tangent and circle.

We know that the angle between the tangent of a circle and a line drawn from the radius is always at right angle.

So the figure becomes a right angled triangle.

Using the Pythagoras theorem 100=r^2 + 64

r^2=36

r=36

Similar questions