f the area of a semi-circular field is 15400 sq m, then perimeter of the field i

The area of a semi-circle is given by the formula (1/2)πr², where r is the radius of the semi-circle. The perimeter of a semi-circle is given by the formula πr + 2r (which is the sum of the curved part and the straight diameter).

Step 1: Find the radius Given that the area of the semi-circular field is 15400 sq m, we can set up the equation (1/2)πr² = 15400. Solving for r, we get:

r² = (15400 * 2) / π r² = 9809.96 r = √9809.96 r = 99.04 m

Step 2: Find the perimeter Now that we have the radius, we can find the perimeter using the formula πr + 2r:

Perimeter = π99.04 + 299.04 Perimeter = 311.81 + 198.08 Perimeter = 509.89 m

So, the perimeter of the field is approximately 509.89 meters.