Question

Area of a circle is 100π cm2

. Length of a chord 6cm away

from its centre is ----

Answer 1

Area of circle=  πr²

100π =  πr²

100 = r²

√100 = r 

-10 Or 10 = r 

Taking +ve, r = 10 

Radius of  the circle = 10 cm



Then, 

By Pythagoras theorem,

(radius)² = (distance b/w center and chord)² + (chord)²

10² = (distance from center to tangent)²  + (6)²

100 - 36 = (distance from center to tangent)²

64 = (distance from center to tangent)²

8 =(distance from center to tangent)

:-)