Find the area of the following composite shape

Explanation

1. The area of the shape composite of a single square at one side and four half circles which all have the same area on the other side or if combined they will be two circles
   • A_shape = A_square + 2 (A_circle)
2. Write square area equation
   • A_square = w²
3. Write circle area equation
   • A_circle = πr²
4. Calculate the area of the square where w = 28 cm
   • A_square = 28² = 784 cm²
5. Calculate the area of the circle where r = 14 cm (half diameter of 28 cm)
   • A_triangle = π * 14² = 615.75 cm²
6. Calculate the area of the shape
   1. A_shape = 784 + 2 * 615.75 = 2015.5 cm²