Question

the length of a tangent drawn from a point of a distance of 10cm of circle is 8cm. The radius of the circle is​

Answer 1

Answer:

the distance from centre to a point = 10cm

tangent = 8cm

we know tangent ⟂ radius

so we get a right angled triangle

so height = 8cm/ base = radius/ hypotenuse = 10cm

now, use pythagorean theorem,

$8^2 + radius^2 = 10^2$

$64 + radius^2 = 100$

$radius^2 = 100-64$

$radius^2 = 36$

$radius = \sqrt{36} = 6cm$

pls mark as brainliest