### Home > GC > Chapter 8 > Lesson 8.1.3 > Problem 8-31

8-31.

The arc at right is called a

**quarter circle**because it is one-fourth of a circle. Homework Help ✎Copy Region A at right onto your paper. If this region is formed using four quarter circles, can you find another shape that must have the same area as Region A? **Justify**your conclusion.Find the area of Region A. Show all work.

What is the radius of the given quarter circle?

Area (A) = 98 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: GC 8-31 HW eTool