The sum of an infinite Geometric Series

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 sum of all shaded areas? Radius of 1 = 100 Radius of 2 = ______ Radius of 3 = _______ Radius of 4 = ________ Side of hexagon 1st =_________ Side of hexagon 2nd = ________ Side of hexagon 3rd = ________ Side of hexagon 4th = _______ Area of Circle 1 = ________ Area of Circle 2 = ________ Area of Crcle 3 =________ Area of Circle 4 = _______ Area of Hexago... click for more

Infinite Geometeric Series

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 square 4 = ______________ Area of Circle 1 = ___________, Area of Circle 2 = _________, Area of Circle 3 = _____________Area of Circle 4 = _______________________ Area of Square 1 =_____________Area of Square 2 = ___________Area of Square 3=___________Area of Square 4 = _____________ Difference of 1st -_____________Difference of 2nd -________Difference of 3rd -... click for more

area of the circle

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?

Right Angles

A Little League team is building a backstop for its practice field. It is made up of two right angles as shown below. The backstop extends 24 feet 8 inches out in each direction and the center pole is 6.5 yards high. All sides of the backstop including base and the center pole are to be made of aluminum tubing. How many feet of tubing should the team buy? How many square feet of the backstop must be covered by a screen? See attachment for diagram

Dimensions of the building

Three buildings abut as shown in the diagram below. What are the dimensions of the courtyard and what is the perimeter of the building? See attachment for diagram