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
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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
Answered by
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
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