Agroup of children sat in a circle to play a game. if the radius of the circle is 12 meters, then what is circumference of the circle? use 3.14 for pi & enter your exact answer, do not round!

  =75.36 m^2

Step-by-step explanation:

The formula for circumference, or the distance around the circle, is given by

C = pi*d = 2pi*r

Using  the radius is 12 meters

C= 2*pi*r

  = 2*pi*12

  = 24 pi

We are given pi = 3.14

 = 24 * 3.14

  =75.36 m^2

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

step-by-step explanation: