Acircle is inscribed in a square as shown. but i don't think you need the picture to solve the problem, it's a circle in side a square but it has no numbers around it. the square has a length of 16 inches. what is the area of the circle rounded to the nearest hundredths? plz show work and explain.
a. 50.27
b. 100.53
c . 200.96
d. 804. 25

Step-by-step explanation:

The diameter is the same length as the side of the square.

The radius of the circle is 16/2 = 8

Area = pi * r^2

Area = 3.14 * 8*8

Area = 64 * 3.14

Area = 200.96 in^2

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3