Google ClassroomGoogle Classroom
GeoGebraGeoGebra Classroom

Circle Flower Worksheet

There are four identical circles, each with radius 10 cm. One circle is centered at (0, 10). One circle is centered at (10, 0). One circle is centered at (0, −10). One circle is centered at (−10, 0). All circles pass through the point (0, 0). Adjacent circles overlap, forming four identical shaded regions as shown in the figure.

Alexandrina A.

Alexandrina A.

1. Find the distance between the centers of two circles whose centers are at (0, 10) and (10, 0).

2. Find the distance between the centers of two circles whose centers are at (0, 10) and (0, −10).

3. Find the coordinates of all intersection points of the circles.

4. Find the area of one shaded overlapping region formed by two adjacent circles.

5. Find the area of one shaded overlapping region formed by two adjacent circles.