# 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: 1947

- Coal mine

The towing wheel has a diameter of 1.7 meters. How many meters does the elevator cage lower when the wheel turns 32 times? - Box

Calculate the angle between box base 9 x 14 and body diagonal length 18. - Greatest angle

Calculate the greatest triangle angle with sides 197, 208, 299. - Sum of inner angles

Prove that the sum of all inner angles of any convex n-angle equals (n-2) . 180 degrees. - Square

Calculate the perimeter and the area of square with a diagonal length 30 cm. - Grid/network of cube

Grid of cube has a circumference 42 mm. Calculate the surface area of the cube ... - Circle

Write the equation of a circle that passes through the point [0,6] and touch the X-axis point [5,0]: ? - Cable

Cable consists of 8 strands, each strand consists of 12 wires with diameter d = 0.5 mm. Calculate the cross-section of the cable. - Triangle SSS

Calculate perimeter and area of a triangle ABC, if a=53, b=46 and c=40. - Right angle

If a, b and c are two sides of a triangle ABC, a right angle in A, find the value on each missing side. If b=10, c=6 - Isosceles trapezoid

Perimeter of the isosceles trapezoid is 48 cm. One side is two times greater than the second side. Determine the dimensions of the trapezoid. - The central

The central angle of a sector is 30° and the radius is 15 m. Determine its perimeter. - Body diagonal

Find the cube surface if its body diagonal has a size of 6 cm. - Funnel

The funnel has the shape of an equilateral cone. Calculate the surface wetted with water if we poured into the funnel 7.1 liters of water. - Equilateral triangle

Calculate the side of an equilateral triangle, if its area is 892 mm^{2}. - Triangular pyramid

What is the volume of a regular triangular pyramid with a side 3 cm long? - Road drop

On a straight stretch of road is marked 12 percent drop. What angle makes the direction of the road with the horizontal plane? - Semicircle

To a semicircle with diameter 10 cm inscribe square. What is the length of square sides? - Pentagon

Within a regular pentagon ABCDE point P is such that the triangle is equilateral ABP. How big is the angle BCP? Make a sketch. - Estate

Semicircle estate must be fence. The straight section has 26 meters long fence. How many meters of fence should buy?

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