Better yet, try measuring the full moon. If you do it carefully, you'll get the same results regardless of where it is in the sky. No fear of eye damage.
My results, using a micrometer at arms length, were that the moon has the same diameter at moonrise as it has when at culmination (as high in the sky as it will be.) About 11 mm, IIRC.
It was important to make sure that the distance from my eye to the micrometer was constant. When the moon was on the horizon, I faced it and held the micrometer at arm's length, vertically. When it was at culmination, I faced the horizon directly under the moon just as before, and then bent backwards so that my head-shoulders-arms-hand angles stayed the same. Fortunately I don't live in the tropics where this would have been difficult (since the moon would be much higher in the sky at culmination.)