The measure of ZPQR is 45°. The length of radius QR is 6 inches. What is the area of sector PQR? Use 3.14 for T.
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Note: Picture is not drawn to scale.

Area is 14.13

Step-by-step explanation:

area of sector = p/360 x πr²

p is the angle

45/360 x 3.14 x 6 x6

5/40 x 113.04

1/8 x 113.04

113.04/8 = 14.13

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.

i believe it is c.y = 9x

rise over run. 9 units up over 1 unit right or 9/1