Perimeter of the Window

To find the perimeter of the window, we need to calculate the sum of the lengths of all its sides. The window consists of a rectangular path with a semicircular top.

Calculating the Perimeter of the Rectangular Path

The length of the rectangular path is given as 2 meters, and the breadth is also given as 2 meters. To find the perimeter of the rectangular path, we can use the formula:

Perimeter = 2 × (Length + Breadth)

Substituting the given values, we get:

Perimeter = 2 × (2 + 2) = 2 × 4 = 8 meters

So, the perimeter of the rectangular path is 8 meters.

Calculating the Perimeter of the Semicircular Top

The semicircular top has a diameter of 2 meters. To find the perimeter of the semicircular top, we need to calculate the circumference of the semicircle. The formula for the circumference of a circle is:

Circumference = π × Diameter

Substituting the given diameter, we get:

Circumference = π × 2 = 2π meters

However, we only need the perimeter of the semicircle, which is half the circumference of the circle. So, we divide the circumference by 2:

Perimeter of Semicircle = 2π / 2 = π meters

Therefore, the perimeter of the semicircular top is π meters.

Calculating the Total Perimeter of the Window

To find the total perimeter of the window, we need to add the perimeter of the rectangular path and the perimeter of the semicircular top:

Total Perimeter = Perimeter of Rectangular Path + Perimeter of Semicircular Top

Substituting the values we calculated earlier, we get:

Total Perimeter = 8 meters + π meters

So, the perimeter of the window is 8 meters + π meters, or simply 8 + π meters.

Conclusion

The perimeter of the window, which consists of a rectangular path with a length and breadth of 2 meters and a semicircular top with a diameter of 2 meters, is 8 + π meters.

What is the length ? pls mention