HELPPP!! The head of a carriage bolt is circular, as shown. The head of this bolt has a diameter of 20 millimeters.
Which measurement is closest to the area of the head of this bolt in square millimeters?

A. 1,256 square millimeters
B. 63 square millimeters
C. 314 square millimeters
D. 31 square millimeters

c. 314

Step-by-step explanation:

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is