If you're binding around curved edges and want to use a stripe fabric in your binding, you'll want to cut your binding strips on the bias. Here are two ways to cut and sew bias binding strips.
How to Make Bias Binding (with Video Tutorial!) - Suzy Quilts
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Step by Step Directions For Making Continuous Double Fold Bias Tape - My Humble Home and Garden
DIY Bias Tape: The quick & easy method - Mamma Can Do It Sewing Blog
Finishing
Ultimate guide to bias Binding - The Sewing Directory
How to Make Bias Binding (with Video Tutorial!) - Suzy Quilts
How To Use A Bias Binder Foot With Your Sewing Machine, 57% OFF
How to Make Continuous Bias Binding Tape — Angie's Art Studio