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. 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.
  2. IS trapezoid
    el_trapezium Isosceles trapezoid arm measured 35 cm. Height is 30 cm and middle segment is 65 cm. Determine length of its bases.
  3. Strip
    pasik From 5.9 cm wide strip should be cut rhombus with area 28 cm2. How long will be its side?
  4. Area of RT 2
    tr Calculate the area of right triangle whose legs have a length 5.8 cm and 5.8 cm.
  5. Arc
    arc Calculate span of the arc, which is part of a circle with diameter d = 20 m and its height is 6 m.
  6. Square2
    square_2 Side of the square is a = 6.2 cm, how long is its diagonal?
  7. Railways
    railways Railways climb 7.4 ‰. Calculate the height difference between two points on the railway distant 3539 meters.
  8. RT and circles
    r_triangle Solve right triangle if the radius of inscribed circle is r=9 and radius of circumscribed circle is R=23.
  9. Circle
    circle_1 What is the radius of the circle whose perimeter is 6 cm?
  10. Base
    rotunda Base of building is circle with diameter 25 m. Calculate the circumference of a circular trench witch diameter is 41 cm wider than the diameter of the base.
  11. Height UT
    unilateral_triangle How long is height in the equilateral triangle with a side b = 43?
  12. Triangle
    star Calculate the area of ​​the triangle ABC if b = c = 17 cm, R = 19 cm (R is the circumradius).
  13. Hexagon
    sestuholnik Draw a regular hexagon inscribed in a circle with radius r=8 cm. What is its perimeter?
  14. Silo
    silo Outer perimeter of silo is 32 m. Concrete wall is 35 cm thick. What is diameter and area of inside floor of silo?
  15. Square
    namestie Rectangular square has side lengths 183 and 244 meters. How many meters will measure the path that leads straight diagonally from one corner to the other?
  16. Saw
    kotuc Imagine that the saw blade with diameter 40 cm has one tooth colored with a different color. How long is path describing by the tip of the tooth after 15 minutes, if the blade is rotated 13365 times?
  17. Road
    route-66 Average climb of the road is given by ratio 1:15. By what angle road average climb?
  18. Greatest angle
    triangles_4 Calculate the greatest triangle angle with sides 197, 208, 299.
  19. Hop-garden
    chmelnica The length of the rectangular hop garden Mr. Smith increased by 25% and its width by 30%. What is the percentage change in area of hop garden?
  20. Q-Exam
    unit_circle If tg α = 0.9, Calculating sin α, cos α, cotg α .

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