Answer:
2124 mm²
Explanation:
To find the area of the shaded face of a cylinder, we need to calculate the area of the circular base.
The formula for the area of a circle is:
Area = π * r^2
where r = radius
Given that the radius of the cylinder is 26 mm, we can substitute this value into the formula:
Area = π * (26 mm)^2
Calculating this:
Area ≈ 3.1416 * (26 mm)^2
Area ≈ 3.1416 * 676 mm^2
Area ≈ 2123.716 mm^2
Rounding this to the nearest whole number, the area of the shaded face of the cylinder is approximately 2124 mm².