# a 7m wide road runs out side around a circular park ,whose circumference is 176 m.then the area of the road is ?

Let the radius of circular park be r m.

Then its circumference is 2πr = 176 m;

On solving r = 88/π m

Radius of the outer including road of width 7 m = 7 + (88/π) m

Now, Area of the road = Outer area – Inner area

= π(R² – r²) = π(R + r)(R – r)

= π(7 + 88/π + 88/π)(7 + 88/π – 88/π)

= π(7 + 176/π)(7) = 49π + 1232 sq m

= 1385.86 sq. m

Hence, the area of the road is 1385.86 sq. m