Question

The following three shapes are based only on squares, semicircles, and quarter circles. Find the perimeter and the area of each shaded part. Give your answer as a completely simplified exact value in terms of π (no approximations).

Answer 1

Answer:

  (81 -20.25π) cm²

Step-by-step explanation:

The area of the 9 cm square is ...

  (9 cm)² = 81 cm²

The area of the 9 cm circle is ...

  (π/4)(9 cm)² = 20.25π cm²

The blue shaded region is the difference of these areas, so is ...

  shaded area = (81 -20.25π) cm²