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. Map
    mapa_bce Forest has an area of ​​36 ha. How much area is occupied by forest on the map at scale 1:500?
  2. Common chord
    chord2 Two circles with radius 17 cm and 20 cm are intersect at two points. Its common chord is long 27 cm. What is the distance of the centers of these circles?
  3. Wire
    cu_wire One pull of wire is reduced its diameter by 14%. What will be diameter of wire with diameter 19 mm over 10 pulls?
  4. Estate
    mapa Estate shaped rectangular trapezoid has bases long 34 m , 63 m and perpendicular arm 37 m. Calculate how long is its fence.
  5. Triangle P2
    1right_triangle Can triangle have two right angles?
  6. Rectangle
    diagonal In rectangle with sides, 6 and 3 mark the diagonal. What is the probability that a randomly selected point within the rectangle is closer to the diagonal than to any side of the rectangle?
  7. 4-gon
    trapezoid It is true that a 4-gon whose two sides are parallel and the other two has equal length, is a parallelogram?
  8. Angle
    os_uhla Draw angle |∠ ABC| = 130° and built its axis. What angle is between axis angle and arm of angle?
  9. Triangle
    triangles Prove whether you can construct a triangle ABC, if a=9 cm, b=6 cm, c=10 cm.
  10. Square
    1square Calculate area of the square with diagonal 64 cm.
  11. Cable
    wire Cable consists of 8 strands, each strand consists of 12 wires with diameter d = 0.5 mm. Calculate the cross-section of the cable.
  12. Circumscription
    circles43 Calculate radius of the Circumscribed circle in the rectangle with sides 20 and 19. It can be rectangle inscribed by circle?
  13. Height 2
    1unilateral_triangle Calculate the height of the equilateral triangle with side 38.
  14. Height
    thales_law Is right that in any right triangle height is less or equal half of the hypotenuse?
  15. Pipeline
    pipeline How much percent has changed (reduced) area of pipe cross-section, if circular shape changed to square with same perimeter?
  16. Circles 2
    zlozite_kruznice Calculate the area bounded by the circumscribed and inscribed circle in triangle with sides 12 cm, 14 cm, 18 cm.
  17. Octagon
    8gon We have a square with side 84 cm. We cut the corners to make his octagon. What will be the side of the octagon?
  18. Meridian
    Globe What is the distance (length) the Earth's meridian 23° when the radius of the Earth is 6370 km?
  19. Arc and segment
    odsek_kruh Calculate the length of circular arc l, area of the circular arc S1 and area of circular segment S2. Radius of the circle is 11 and corresponding angle is ?.
  20. Center traverse
    trianles It is true that the middle traverse bisects the triangle?

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