Mathematics Homework Solutions

Area of 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

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

Triangle Word Problem : Find the size of an angle.

A triangle has one angle twice the size of the first angle and another the size of the first angle plus 50. What size is the first angle?

Find the Perimeter of an Octagon within a Circle

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.

Constructing a Circle With Twice its Area

Given a circle, construct a circle with twice its area.

Given a circle, construct a circle with twice its area.

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.

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