An Indian sand painter begins his picture with a circle of dark sand. He then inscribes a square with a side length of 1 foot inside the circle. What is the area of the circle?

A circle of radius 100is inscribed in a square. The inscribing process continues to infinity. What is the sum of the unshaded areas?
Radius of 1 = 100 - Radius of 2 = _________Radius of 3 = _______ Radius of 4 = ____________
Side of square 1 =________, Side of square 2 = __________, Side of square 3 = ___________Side of

A regular hexagon is inscribed in a circle of radius 100. The area of that hexagon outside the square is shaded. Another circle is inscribed in the hexagon, and hexagon is inscribed in the second circle. The area of the second circle which lies outside the hexagon is shaded. This process continues to infinity.
What is the

A) Find the area of the isosceles triangle in which each of the equal sides is 14.72 in and the vertex angle is 47° 28' .
B) Find the radius of the inscribedcircle and the radius of the circumscribed circle for the following obliqe triangle :
a) = 12.7 , b = 21.5, and c = 28.6

1. Find the equation of the circle with center at the intersection of 4x + y - 4 = 0 and x - y - 6 = 0 and passing through (-1, -3).
2. What is the equation of the circle passing through (12, 1) & (2, -3) and having its center on the line 2x - 5y + 10 = 0.
3. The sides of the triangle are on the lines 3x - y - 5 = 0, x + 3

1) Find the absolute extreme values of the function
f(x,y) = x^2 + xy - x - 2y + 4 on the region D enclosed by y= -x, x=3, y=0
2) Given a circle of radius R. Of all the rectangulars inscribed in the circle, find the rectangular with the largest area.
3) a) Find the differential df of f(x,y)= x(e^y)
b) use the differenti

6. Find the area of the following figure (see attached), give that a = 2, b =7 and h = 5.
14. Find the area and perimeter of the following figure (see attached).
24. Find the volume and surface area of the following rectangular box (see attached).
31. Find the volume of the following figure (see attached).
47. On

Using the diagram attached:
11. What is the measure of arc AC?
12. If ABC is a 30-60-90 triangle, with angle ACB at 30 degrees, and line segment AC is the diameter of the circle, then if the length of line segment AB is 4, what is the radius of the circle?
13. Working with the information from 12 from here to #16, what is