In the figure, ABC is a quarter circle and CDEF is a square. (a) The length of DF is 38 cm. Find the area of the square CDEF.
(b) Find the area of the shaded parts. Give your answer correct to
2 decimal places.

a). 722 cm²

b). 412.11 cm²

Step-by-step explanation:

ABC is a quarter circle with radius CE,

Area of a quarter circle =

Since CDEF is a square, diagonals CE and FD will be equal.

CE ≅ FD ≅ 38cm

(a). Measure of a side of the square CDEF =

           Side =

                    = 26.87

     Area of the square CDEF = (Side)²

                                                = (26.87)²

                                                = 722 cm²

b). Area of the shaded part = Area of the quarter circle - Area of the square

    Area of the quarter circle =

                                               = 1134.11495 cm²

    Area of the shaded area = 1134.11495 - 722

                                              = 412.11495 cm²

                                              ≈ 412.11 cm²

step-by-step explanation:

circumference divided by 3.141592654 then timesthe radius twice