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).

Part 1)

Part 2)

Step-by-step explanation:

The picture of the question in the attached figure

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

so

we have that the base and the height of triangle is equal to the radius of the circle

substitute

simplify

Factor 36

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

The circumference of a quarter of circle is equal to

substitute the given values

Applying the Pythagorean Theorem

The hypotenuse of right triangle is equal to

simplify

Find the perimeter

simplify

Factor 6

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step-by-step explanation: