Question

In a circular lawn, there is a 16 m long path in the form
of a chord. If the path is 6 m away from the centre of the
lawn, then the radius of the circular lawn is
1) 16 m 2) 6 m 3) 10 m 4) 8 m​

Answer 1

Answer-

In the given figure, the circle represents the circular lawn and AB represents the 16 m long path.

OP=6m⇒ distance of the path from the centre.

Using the property that perpendicular from the centre bisects the chord, we can say that AP=BP=8m.

In triangle OPB, using pythagoras theorem,

OB= (OP 2 +PB 2 )

=10m which is the radius.