Acircle is inscribed inside a square as shown. if graphed on the coordinate plane, the coordinates of the center of the circle would be (2, 5) and the coordinates of one other point on the circle would be (5,2). find the perimeter of the square.

a) 12√2
b) 18
c) 24√2
d) 45

C) 24√2

Step-by-step explanation:

The distance between the points is the radius of the circle.  Use distance formula:

d² = (x₂ − x₁)² + (y₂ − y₁)²

d² = (5 − 2)² + (2 − 5)²

d² = 3² + 3²

d = 3√2

The radius of the circle is 3√2.  The diameter of the circle is 6√2, so the side length of the square is 6√2.  Therefore, the perimeter is 24√2.

cut 138 centimeters off

step-by-step explanation:

250-112 = 138

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).