A lot depends on the fabric you're using. Thinner fabrics make for less bulk in pointy ends. Other than that, my hints would be:
- lightly spray starch the fabric before cutting out the shape
- trim a little closer to the fold line as you get to the pointy end
- take an extra stitch at the point as already suggested
- trim a teensy bit off the end if needed....even 1 thread is sometimes enough
- lick a finger and dampen the tip a bit
- turn under the tip so it looks like the point has a flat end as already mentioned
- press well with thumb of non-sewing hand
- trim another teensy bit....if only a thread it usually helps
- this is when I use my Magic Stick to turn the fabric under....it's a manicure stick that is flat on one end and pointy on the other.....I lick the flat end and tuck the fabric under (I've never perfected turning the fabric with the needle but I love the Stick)
- thumb-press again
- keep thumbnail as close to the pointy end as possible holding it all in place, bring needle up from underneath and continue on with stitching.
My two-cents worth for today! Have fun!
Oh yes, circles.....highly recommend Karen Kay Buckley's Perfect Circles templates!!!