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: 2136

  • Vectors abs sum diff
    vectors_sum0 The vectors a = (4,2), b = (- 2,1) are given. Calculate: a) |a+b|, b) |a|+|b|, c) |a-b|, d) |a|-|b|.
  • Annual rainfall
    rain The average annual rainfall is 686 mm. How many liters will fall on the 1-hectare field?
  • Forces
    resultant_force Determine the resultant of two perpendicular forces F1 = 560 N and second force of 25% smaller.
  • Decagon
    decanon Calculate the area and circumference of the regular decagon when its radius of a circle circumscribing is R = 1m
  • It is 2
    diamond_basetball It is 90 feet from home plate to first base on a baseball diamond. What is the area of the baseball diamond in square yards?
  • Circle
    circle How big is an area of a circle if its circumference is 51.2 cm?
  • Land
    geodetka Land has a rectangular shape, its surface area is 1.45 hectares. Its width is 250 m. Determine the length of the land.
  • Base
    triangle Compute base of an isosceles triangle, with the arm a=20 cm and a height above the base h=10 cm.
  • Square sides
    square If the square side increases by 28%, the square circumference increases by 11.2 meters. Find the length of the original square side.
  • Vectors
    vectors Vector a has coordinates (8; 10) and vector b has coordinates (0; 17). If the vector c = b - a, what is the magnitude of the vector c?
  • Find the 3
    segment Find the distance and midpoint between A(1,2) and B(5,5).
  • Hexagon A
    hexagon Calculate area of regular hexagon inscribed in circle with radius r=9 cm.
  • Angles of a hexagon
    hexagon-irregular Find the interior angles of a hexagon if the sizes of the angles form an arithmetic sequence and the smallest angle is 70°.
  • Four sides of trapezoid
    lichobeznik2 Trapezoid is given by length of four sides: 40.5 42.5 52.8 35.0. Calculate its area.
  • Garden
    garden The garden has a rectangular shape and has a circumference of 130 m and area 800.25 m2. Calculate the dimensions of the garden.
  • Diameter
    circles2 What is the inside diameter of the cylinder container and if half a liter of water reaches a height 15 cm?
  • Ladder
    rebrik The ladder has a length 3.5 meters. He is leaning against the wall so that his bottom end is 2 meters away from the wall. Determine the height of the ladder.
  • Building
    Taipei How high is the building that throws horizontal shadow 95.4 m long at angle 50°?
  • Find the
    symmetry Find the image A´ of point A [1,2] in axial symmetry with the axis p: x = -1 + 3t, y = -2 + t (t = are real number)
  • Rhombus
    rhombus2 Internal angles of rhombus is in ratio 2:3. How many times is the shorter diagonal longer than side of rhombus?

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