The arm of a ceiling fan measures a length of 25 in. What is the area covered by the motion of the fan blades when turned on?

The area of 1963.46 square inches covered by the motion of the blades when turned on.

Step-by-step explanation:

The given is,

                    The arm of a ceiling fan measures length of 25 inches.

Step:1

                   When the fan turned on it makes a rotation of blades. It is in the circular form.

                   Formula to calculate the area of circle,

                                                    ...................................(1)

                   Where, r - Radius of circle

                   From the given values,

                         Length of fan arm = r = 25 inches

                   Equation (1) becomes,

                                                         = 1963.49

                                                         = 1963.49 square inches

                    Area covered by fan = 1963.49 square inches

Result:

            The area of 1963.46 square inches covered by the motion of the blades when turned on.  

answer: h

step-by-step explanation:

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be