Planimetrics - math word problems

Study plane measurements, including angles, distances, and areas. In other words - measurement and calculation of shapes in the plane. Perimeter and area of plane shapes.

Number of problems found: 1947

  • ABCD
    trig_1 AC= 40cm , angle DAB=38 , angle DCB=58 , angle DBC=90 , DB is perpendicular on AC , find BD and AD
  • Slope
    slope What is the slope of a line with an inclination 6.06 rad?
  • Coin
    mince How many 50-cent coins must be put in a row that next 50-cent coins after them (above) rolled on it axis?
  • Playground
    playground_fencing Rectangular playground is fenced with 38 m long netting. Its width is 7 m. Calculate its length.
  • Circle
    circles From the equation of a circle: ? Calculate the coordinates of the center of the circle S[x0, y0] and radius of the circle r.
  • Climb
    scenic_road Road has climbing 1:27. How big is a angle corresponds to this climbing?
  • Parabola
    parabola_1 Find the equation of a parabola that contains the points at A[6; -5], B[14; 9], C[23; 6]. (use y = ax2+bx+c)
  • Spherical cap
    koule2 What is the surface area of a spherical cap, the base diameter 20 m, height 2 m.
  • Megapascals
    engine What is the area of crosssection of the piston, if the force of 300 kN produces a pressure of 5 MPa?
  • Rhombus
    rhombus2_3 The rhombus with area 68 has one diagonal is longer by 6 than second one. Calculate the length of the diagonals and rhombus sides.
  • Kostka
    sphere_in_cube Kostka je vepsána do koule o poloměru r = 6 cm. Kolik procent tvoří objem kostky z objemu koule?
  • Diagonal of square
    ctverec_mo_1 Calculate the side of a square when its diagonal is 10 cm.
  • Inscribed and described circle
    penta-prism Find the radii of a circle inscribed and circumscribed by a regular pentagon whose side measures 3 cm.
  • Square circles
    stvorec_kruh Calculate the length of the described and inscribed circle to the square ABCD with a side of 5cm.
  • Star
    cross_star Calculate the content of the shaded part of square with side 28 cm.
  • Ladder
    rebrik_4 4 m long ladder touches the cube 1mx1m at the wall. How high reach on the wall?
  • Bicycle wheel
    cyklo2_2 After driving 157 m bicycle wheel rotates 100 times. What is the radius of the wheel in cm?
  • Bridge
    bridge_circle The bridge arc has a span 34 m and height 3 m. Calculate the radius of the circle arc of this bridge.
  • Complementary angles 2
    complementary_angles Two complementary angles are (x+4) and (2x - 7) find the value of x
  • Rounding
    map1 What width and length in centimeters may have rectangle land when round the dimensions to the meter , the width is 5 m and length 7 meters?

Do you have an interesting mathematical word problem that you can't solve it? Submit a math problem, and we can try to solve it.



We will send a solution to your e-mail address. Solved examples are also published here. Please enter the e-mail correctly and check whether you don't have a full mailbox.

Please do not submit problems from current active competitions such as Mathematical Olympiad, correspondence seminars etc...



See also more information on Wikipedia.