The circumference of a circles is 16 pi ft. what is the area of the circle?

A = 64 pi unit^2

Step-by-step explanation:

Circumference is given by

C = 2 * pi *r

16 pi = 2 * pi *r

Divide  each side by pi

16 = 2r

Divide by 2

16/2 = 2r/2

8 = r

Now we can find the area

Area is equal to

A = pi r^2

A = pi (8)^2

A = 64 pi unit^2

64π ft^2.

Step-by-step explanation:

The formula for finding the Circumference of a circle is: C = πd where d represents the  diameter of the circle.

We know that C = 16 pi ft, solving for d:

C = πd -> d= C/π = 16ft.

The area enclosed of a circle of radius r is π r^2.

we know that r = d/2 = 16ft / 2 = 8ft

Then the area of a circle is: π r^2 = π (8)^2 = 64π ft^2.

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

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step-by-step explanation: