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 ...continues

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 ...continues

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

integer value of triangle

how many integer values of z are there so that z, 4, and 7 could be the lengths of the sides of a triangle?

It is an explanation for finding the integral by the method of summation or by evaluating the integral as limit of a sum(part 3). Find by the method of summation the value of: ∫ sin xdx, where the lower limit is 0 and the upper limit is (1/2)π, i.e., integral of sin x, where the lower limit is 0 and the upper limit is (1/2)pi.

Calculus Integral Calculus(III) Definite Integral as the Limit of a sum Method of ...continues

Perimeter of an octagon within a circle.

I need help with this one. Maybe I'm just reading to much in to the question, but I can figure this one out. Please help. A regular octagon is inscribed in a circle of radius 15.8 cm. Find the perimeter of the octagon.

Are eight points in a plane concurrent?

1. Eight points, A, B, C, D, E, F, G, and H are distributed in a plane. Exactly five of the points are on line l1, exactly three are on line l2, and exactly three are on line l3. Are the three lines concurrent? Justify answer.

Circle construction.

2. Given a circle, construct a circle with twice its area. I know that the r2 = (x-h)2 + (y+k)2 is the standard equation for a circle. I don't know how to use this formula to construct two circles where one is twice the area of the other. Please see attached.

Circle

Given a circle, construct a circle with twice its area. I know that the r2 = (x-h)2 + (y+k)2 is the standard equation for a circle. I don't know how to use this formula to construct two circles where one is twice the area of the other.