Comment on turkey pot pies

ryannathans@aussie.zone ⁨1⁩ ⁨year⁩ ago

• TheOakTree@beehaw.org ⁨1⁩ ⁨year⁩ ago

  (1/2)×θ×r^2

  gives you the area of a sector circle, like a slice of pie.

  (1/2)×θ×side1×side2

  is the side-angle-side formula for the area of a triangle.

  We know that the triangle has two sides that are equal to the radius, so we replace side1×side2 with r^2. Since the area of the arc segment is equal to the area of a sector minus the triangle encompassed by the sector, we can subtract triangle area from sector area to get

  (1/2)×(θ-sin(θ))×r^2

  source

  • ryannathans@aussie.zone ⁨1⁩ ⁨year⁩ ago

    Is theta in radians? That’s the only way I see this working

    source

    • TheOakTree@beehaw.org ⁨1⁩ ⁨year⁩ ago

      Yeah, it’s in radians. The degree version has a less clean format.

      source

      • ryannathans@aussie.zone ⁨1⁩ ⁨year⁩ ago

        That makes way more sense, I was so confused

        source
• SkybreakerEngineer@lemmy.world ⁨1⁩ ⁨year⁩ ago

  Kepler’s Equation

  source