The perimeter P of a regular hexagon is 66 in. What is the length x of each side

Each side of the given regular hexagon measures 11 inches

Step-by-step explanation:

Step 1 :

Given ,

The regular hexagon;s perimeter  = 60 in

We need to determine the each side's length

Step 2:

Let x be  length of  hexagon's side. Since this is a regular hexagon we know that the length of all its sides is the same and is equal to x

The  regular hexagon's perimeter is equal to six times the length of its equal side.

So here we have ,

6 x = 66

=> x = 11 inches.

Step 3 :

Each side of the given regular hexagon measures 11 inches

the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing im pretty sure that is the right answer

step-by-step explanation:

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.