Two identical circles are to be cut from
a 12cm by 9cm sheet of paper.

What is the maximum possible radius of these circles?

Show that if the length of the sheet of paper is twice the breadth of the paper, then the radius of the largest circles which can be cut out is half of the breadth.

  1. 👍
  2. 👎
  3. 👁
  1. Sounds like the two circles' centers are on a line parallel with a side of the rectangle. In that case, the diameter of the circles is half the longest dimension of the rectangle.

    So, two circles of radius 6 can be cut from the paper. Any bigger than that, and they won't both fit in the 12cm dimension.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    Disks of radius 4 cm are cut from a rectangular plastic sheet of length 84 cm and width 24 cm. How many complete disks can be cut out? Find (a) the total area of the discs out (b) the area of sheet wasted I did it but the answers

  2. maths-urgently needed

    The volume of a cylinder is 48.125 cm3, which is formed by rolling a rectangular paper sheet along the length of the paper. If cuboidal box (without any lid i.e., open at the top) is made from the same sheet of paper by cutting

  3. math

    6cm diameter discs are cut from a sheet 130cm long and 70cm wide.(a)How many discs can be cut in this way (b) what area of the sheet is wasted? (My working so far). Area of rectangle=L*B 130*70=9100cm^2 area of circle=22/7

  4. math

    A sheet of paper has dimensions of 8.5 in x 11 in. If you cut 2 in2 from each corner of the sheet, what will the area of the sheet of paper be?

  1. mathematics

    a triangle has side lengths of 9cm, 18cm, and 12cm. Classify it as acute, obtuse, or right.

  2. Maths

    Hi im doing measurement at skool at the moment and i cant quite ork out some questions. Can someone please help!! A metal washer has an external diameter of 2cm and an internal diameter of 1cm. A) How many washers can be cut from

  3. Math

    Sam needs to cut a piece of sheet metal into 8 pieces. All the cuts are made in the same direction. It takes him 5 minutes to make each cut. How many cuts will Sam make? How would making a table help you find the number of minutes

  4. math

    Sam needs to cut a piece of sheet metal into 8 pieces, it takes 5 minutes to cut, how many cuts will he make.

  1. math

    6. You are given a sheet of cardboard that is 8.0 in. x 11.0 in. How many full circles with a diameter of 3.0 inches can you cut from the cardboard? What is the percentage of waste if the

  2. physics(capacitors)

    A sheet of paper 40mm wide and (1.5 x 10^-2) thick is placed between a metal foil of the same width is used to make a 2.0 UF capacitor. If the dielctric constant(relative permitivity of the paper is 2.5 ,what length of paper is

  3. Mathematics

    An open box is made from a square piece of sheet metal 19 inches on a side by cutting identical squares from the corners and turning up the sides. Express the volume of the box, V, as a function of the length of the side of the

  4. survey of mathematics

    The numbers 1-10 are written on a sheet of paper and the ten sheets of paper are placed in a bowl. If one sheet of paper is selected at random from the bowl, determine the probability that the number selected is odd. (Points: 1)

You can view more similar questions or ask a new question.