The two externally tangent circles each have a radius of 1 unit. Each circle is tangent to three sides of the rectangle. What is the total perimeter of the shaded region? Express your answer in terms of pi
Because the circle has a radius of 1, we know the rectangle's dimensions are \(4 \times 2 \).
Note that the perimeter of the shaded region is the perimeter of the rectangle plus the perimeter of the 2 circles.
The circumference/perimeter of the circle can be found using the formula \(2 \pi r\).
Can you take it from here?