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Home > PC > Chapter 8 > Lesson 8.2.3 > Problem 8-112

8-112.

The circle below has a radius of cm. The figure inscribed in the circle is a rectangle with width . Express each of the following in terms of .

  1. The perimeter of the rectangle.

    Draw a diagonal. If the radius is 5, how long is the diagonal?

    Use the Pythagorean Theorem to find the length L.

    Perimeter = 2(width) + 2(length)

  2. The area of the rectangle.

    Area = (Length)(Width)

Circle, with 4 points, one in each quadrant, such that consecutive points are aligned vertically or horizontally, segments connect conseutive points, creating vertical rectangle, bottom side labeled, 2 x.