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. find the radius of the circular lawn.

• A. 18 m
• B. 6 m
• C. 10 m
• D. 8 m

Answer 1

The correct option is C 10 m

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

$OP=6m\Rightarrow$ 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,

$OB=\sqrt{(O{P}^2+P{B}^2)}$ $=10m$ which is the radius.