Solve any maths problem

Equations, derivatives, integrals, matrices, triangles, primes, statistics — or a word problem the tutor breaks into parts.

Geometry · Polygons

Regular 12-gon side 2

12,\ 2

Step by step

  1. \text{interior angle} = \frac{(n-2)\cdot 180^\circ}{n} = 150^\circ

    A regular 12-gon.

  2. P = n s = 24

    Perimeter.

  3. a = \frac{s}{2\tan(\pi/n)} = \sqrt{3} + 2 \approx 3.7321

    Apothem (centre to the middle of a side).

  4. A = \tfrac{1}{2} P a = 12 \sqrt{3} + 24 \approx 44.785

    Area = half the perimeter times the apothem.

Reveal the answer
A = 12 \sqrt{3} + 24 \approx 44.785