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Home > CCG > Chapter 8 > Lesson 8.1.3 > Problem 8-34

8-34.

The arc at right is called a quarter circle because it is one fourth of a circle.

Image of a quarter circle

  1. Copy Region A below onto your paper. If this region is formed using 4 quarter circles, can you find another shape that must have the same area as Region A? Justify your conclusion.

Figure A is an enclosed figure composed of arcs. The top left and right is the top left and right of a circle.  The bottom left is the top, right of a circle, and the bottom, right , is the top left of a circle. The diameter is 14.

  1. Find the area of Region A. Show all work.

    What is the radius of the given quarter circle?

    Area (A) = square units

Use the eTool below to rearrange the shape to help more easily find the area.
Click the link at right for the full version of the eTool: 8-34 HW eTool (Desmos)