Planimetrics - math word problemsStudy 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
- Triangle 42
Triangle BCA. Angles A=119° B=(3y+14) C=4y. What is measure of triangle BCA=?
How many percents are waste from a circular plate with a radius of 1 m from which we cut a square with the highest area?
- Pipe cross section
The pipe has an outside diameter 1100 mm and the pipe wall is 100 mm thick. Calculate the cross section of this pipe.
What is the perimeter of a right triangle with the legs 14 cm and 21 cm long?
- Unit vector 2D
Determine coordinates of unit vector to vector AB if A[-6; 8], B[-18; 10].
- Perimeter from area
What is the perimeter of the square if its content is 64 cm2?
- Angles ratio
The internal angles of a triangle are in ratio 1:4:5. What kind of triangle is it? (solve interior angles and write down and discuss)
- Diagonal to area
Calculate the area of a rectangle in which the length of the diagonal is 10 cm.
- Area of ditch
How great content area will have a section of trapezoidal ditch with a width of 1.6 meters above and below 0.57 meters? The depth of the ditch is 2.08 meters.
Isosceles trapezium ABCD ABC = 12 angle ABC = 40 ° b=6. Calculate the circumference and area.
Ladder 10 meters long is staying against the wall so that its bottom edge is 6 meters away from the wall. What height reaches ladder?
- As shown
As shown, in △ ABC, ∠C = 90°, AD bisects ∠BAC, DE⊥AB to E, BE = 2, BC = 6, then the perimeter of △ BDE
- n-gon II
What is the side length of the regular 5-gon circumscribed circle of radius 11 cm?
What is the side length of the regular 5-gon inscribed in a circle of radius 12 cm?
- Chord of triangle
If the whole chord of the triangle is 14.4 cm long, how do you calculate the shorter and longer part?
- Square diagonal
Calculate the length of the square diagonal if the perimeter is 476 cm.
The rectangle area is 182 dm2, its base is 14 dm. How long is the other side? Calculate its perimeter.
- Cube and sphere
Cube with the surface area 150 cm2 is described sphere. What is sphere surface?
The triangle has known all three sides: a=5.5 m, b=5.3 m, c= 7.8 m. Calculate area of this triangle.
- RT - hypotenuse and altitude
Right triangle BTG has hypotenuse g=117 m and altitude to g is 54 m. How long are hypotenuse segments?
See also more information on Wikipedia.