3.1.5 Quiz: Circles Question 4 of 5
а
A factory makes circular rugs with a radius of 6.5 feet. How much braid do
they need to go all the way around the outside of the rug? Use 3.14 for II.
A. 20.41 ft
B. 40.82 ft
C. 132.67 ft
D. 16.14 ft

Letter B. trust me my answer is correct:)

Step-by-step explanation:

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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.

b

step-by-step explanation: