The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations).

Area of the shaded region = 16(π - 2) in²

Perimeter of the shaded region = 4(π + ) in

Step-by-step explanation:

Since, BDC is a quarter of the circle with radius = 8 in.

Area of the quarter of the circle =

                                                     =

                                                     = 16π in²

Area of ΔBCD =

                        =

                        = 32 in²

Since, area of the shaded part = Area of quarter of the circle - Area of triangle BCD

= (16π - 32)

= 16(π - 2) in²

Therefore, area of the shade region = 16(π - 2) in²

Similarly, length of arc BD =

                                            =

                                            = 4π in.

Length of the diagonal of a square = (Side)√2

                                                          = 8√2 in

Perimeter of the shaded region = Length of arc BD + Length of diagonal BD

= 4π + 8√2

= 4(π + 2√2) in.

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%

3, 12, 48, 384, 1536, 6144, 24576, 98304

step-by-step explanation:

just keep timing it by 4.