A circular pizza with diameter of 10 inches. The pizza is in a square box with side lengths of 14 inches. In square inches, how much of the box is empty?

117.45 in²

Step-by-step explanation:

Given that:

Diameter of circular pizza = 10 inches

Length of square box = 14 inches

Area of a square = a²

Where a = side length

Area of square = 14² = 196 in²

Area of circle :

pi * r²

Pi = 3.142 ; r = d/2 = 10/2 = 5 inches

Area of circle = 3.142 * 5² = 78.55 in²

Amount of the box which is empty :

196 in² - 78.55 in² = 117.45 in²

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x