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.

  1. Circles
    olympic_circles For the circle c1(S1; r1=146 cm) and c2(S2; r2 = 144 cm) is distance of centers |S1S2| = 295 cm. Determine the distance between the circles.
  2. Mine
    minetower Wheel in traction tower has a diameter 4 m. How many meters will perform an elevator cabin if wheel rotates in the same direction 89 times?
  3. Clocks
    clocks How long path will walk the end of the clock's minute-hand long 7 cm for 330 minutes? How long will walk in the same time hour-hand?
  4. Rhombus angles
    rhombus2 If one angle in the rhombus is 159°, what is it neighboring angle in rhombus?
  5. Rhombus HP
    rhombus3_1 Calculate area of the rhombus with height 24 dm and perimeter 12 dm.
  6. Angles in triangle
    trigonometry The triangle is ratio of the angles β:γ = 6:8. Angle α is 40° greater than β. What are the size of angles of the triangle?
  7. Kites
    drake Boys run kite on a cable of 68 meters long. What is the kite altitude, if the angle from the horizontal plane is 72°?
  8. Rhombus problem
    privesok-kosostvorec Perimeter of the rhombus is 204 dm and it area is 2244 dm2. Calculate the height of the rhombus.
  9. Maximum area of rhombus
    rhombus Calculate the interior angles at which equilateral rhombus has a maximum area.
  10. Jewel
    rhombus3 Rhombus-shaped jewel have area of 93 mm2 and the edge in long 13.2 mm. Calculate the size of rhombus acute angle.
  11. Shape
    some_airplane Plane shape has a maximum area 677 mm2. Calculate its perimeter if perimeter is the smallest possible.
  12. Garden plot
    plot Calculate how many meters of fence need to fence the square garden with length and width of 22 meters.
  13. Circle in rhombus
    circle_rhombus In the rhombus is inscribed circle. Contact points of touch divide the sides to parts of length 19 cm and 6 cm. Calculate the circle area.
  14. Playground
    playground_fencing Rectangular playground is fenced with 38 m long netting. Its width is 7 m. Calculate its length.
  15. Rectangle
    obdlznik_torta Area of rectangle is 3002. Its length is 41 larger than the width. What are the dimensions of the rectangle?
  16. Circle chord
    circleChord What is the length d of the chord circle of diameter 115 m, if the distance from the center circle is 11 m?
  17. Road
    cesta Between cities A and B is route 13 km long of stúpanie average 7‰. Calculate the height difference of cities A and B.
  18. Square diagonal
    square_d Calculate the length of the square diagonal if the perimeter is 476 cm.
  19. Triangle SAS
    triangle_iron Calculate the area and perimeter of the triangle, if the two sides are 51 cm and 110 cm long and angle them clamped is 130 °.
  20. Rhombus
    rhombus Calculate the perimeter and area of ​​a rhombus whose diagonals are 39 cm and 51 cm long.

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