posted by .

Hey, I'm confused on this one problem and can you help me please? Thanks a bunch! :]
The problem is:
The figure consists of a square with 4 half circles surrounding it. If the perimeter of the figure is 87 yards, what is the radius of each half circle? What is the area of the square? Round to the nearest tenth if necessary.

  • Math -

    A square has 4 equal sides, so 87/4 will give you the length of one side, which happens to be 21.75 yards. Not only is this the length of a side of a square, but it is also the diameter of the half circle. Do 21.75/2 to get the radius, which comes out to be 10.875 yards. As for the area of the square, just square the length of a side. 21.75^2 = 473.0625 yards.

    So your final answers:

    r = 10.875 yards
    A = 473.0625 yards

    Round however you'd like.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Geometry

    How do I figure out the area and perimeter of a square if all I know is the cross (top left corner to bottom right corner) measurement?
  2. Algebra 2

    Make a table with a process column to represent each pattern. Write an expression for the number of circles in the Nth figure. The first figure is 5 circles long and 2 circles wide, the second 5 circles long and 3 circles wide. How …
  3. math

    a figure skater must trace a figure eight on the ice that consists of two perfect circles, each with radius 11 feet. How far does the skater go one time around the figure eight?
  4. math

    Referring to the figure, think about first picking a card and then rolling the die. Give the probability in simplest form. P(A, 1) = ____ the figure has 1 A,2 B, 3 C, and a 6 side cube. i am confused with this problem.. please help?
  5. Math

    Hi! Can you help me with this problem please?

    PLEASE HELP I REALLY NEED HELP. Each of the three circles in the figure below is externally tangent to the other two, and each side of the triangle is tangent to two of the circles. If each circle has radius three, then find the perimeter …
  7. Maths

    the figure below shows 3 similar circles that just touch one another.A,Band C are the centres of the circles.If the perimeter of the triangle ABC is 42cm, what is the total area of the unshaded part of the 3 circles. (take pie = 22/7)
  8. Math

    write an equation that relates the number of trapezoids in the figure (n), to the perimeter of the figure (P) the equation for the perimeter is P = 14n + 5 the equation for the perimeter is P = 5n + 14 the equation for the perimeter …
  9. math

    two figures are shown. figure a is a square and figure b is a rectangle. the perimeter of figure a is equal to perimeter of figure __3x-2_____ | | | | 3x-2| | 3x-2 |___________| 3x-2 ____________________ | | | | | | x-2 |___________________| …
  10. math

    The figures in (a) and (b) below are made up of semicircles and quarter circles; the figure in (c) shows a quarter of a circle in a square. Find the area and the perimeter of each figure in terms of π.

More Similar Questions