Answer:
2.67 metres squares
Explanation:
The area of a semi-circle can be calculated using the formula:
A = 1/2 * π * r^2
where A is the area of the semi-circle, π is the mathematical constant pi (approximately equal to 3.14), and r is the radius of the semi-circle.
To find the radius of the semi-circle attached to the top of the stained glass window, we can use the fact that the semi-circle has a diameter of 2.6 m (since it is attached along the 2.6 m side of the window).
The radius is half of the diameter, so:
r = 2.6 m / 2 = 1.3 m
Now we can calculate the area of the semi-circle using the formula:
A = 1/2 * π * r^2
A = 1/2 * 3.14 * (1.3 m)^2
A = 2.67 m^2 (rounded to two decimal places)
Therefore, the area of the semi-circle is approximately 2.67 square meters