A circle fits in a square with sides of 12 inches. What is the approximate area of the shaded region between the square and the circle?( use 3.14 for pi and round to the nearest whole number)

Area of the shaded region: ≅31 in²

Step-by-step explanation:

Area of a square: side of the square²

Replacing with the values given:

A = 12²= 144 in²

Area of a circle: (we have the diameter of the circle, its equal to the side of the square since the circle fits in the square)

A = π r ²

Where:

π = 3.14

r = radius = diameter /2  

Replacing with the values given:

A = 3.14 (12/2)² = 113.04 in²

Now, to obtain the area of the shaded region we have to subtract the area of the circle to the area of the square:

Area of the shaded region: 144 -113.4 = 30.96 ≅31 in²

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb