To draw a triangle with a circumradius of 3 centimeters and two angles measuring 32.5° and 37.5°, follow these steps:

1. Determine the Third Angle:

• The sum of the angles in a triangle is 180°.
• The third angle, $C$, can be calculated as: $C = 180° - (32.5° + 37.5°) = 110°$

2. Draw the Circumcircle:

• Draw a circle with a radius of 3 centimeters using a compass. This is the circumcircle of the triangle.

3. Mark the Vertices on the Circumcircle:

• Place one vertex $A$ anywhere on the circumcircle.
• Use a protractor to measure an angle of 32.5° and mark the second vertex $B$.
• Similarly, measure an angle of 37.5° from vertex $B$ to locate the third vertex $C$ on the circumcircle.

4. Connect the Vertices:

• Draw straight lines between the vertices $A$, $B$, and $C$ to form the triangle.

Visualization:

This construction ensures that the triangle has a circumradius of 3 centimeters and the specified angles. If you want, I can create a visual representation of this triangle. Would you like to see an image of it?