Question

An artist is using a coordinate plane to plan a string design for a wall. The artist plans to hammer a nail at each vetex of regular hexagon. then the artist will string to connect the vertices to make the hexagon shape. the artiststarts with a circle centered at the origin and places first vertex at (8,0) where are the other vertices? give coordinates

Answer 1

The first vertex is at 0° with the x-axis. The other vertices are at respectively θ= 60, 120, 180, 240 and 300° with the x-axis.

The corresponding coordinates are at:
( 8cos(θ), 8sin(θ) )

Example:
At θ=0° the vertex is
(8cos(0°), 8sin(0°))
=(8,0)