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