# 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.- Bridge

The bridge arc has a span 34 m and height 3 m. Calculate the radius of the circle arc of this bridge. - IS trapezoid

Isosceles trapezoid arm measured 35 cm. Height is 30 cm and middle segment is 65 cm. Determine length of its bases. - Strip

From 5.9 cm wide strip should be cut rhombus with area 28 cm^{2}. How long will be its side? - Area of RT 2

Calculate the area of right triangle whose legs have a length 5.8 cm and 5.8 cm. - Arc

Calculate span of the arc, which is part of a circle with diameter d = 20 m and its height is 6 m. - Square2

Side of the square is a = 6.2 cm, how long is its diagonal? - Railways

Railways climb 7.4 ‰. Calculate the height difference between two points on the railway distant 3539 meters. - RT and circles

Solve right triangle if the radius of inscribed circle is r=9 and radius of circumscribed circle is R=23. - Circle

What is the radius of the circle whose perimeter is 6 cm? - Base

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. - Height UT

How long is height in the equilateral triangle with a side b = 43? - Triangle

Calculate the area of the triangle ABC if b = c = 17 cm, R = 19 cm (R is the circumradius). - Hexagon

Draw a regular hexagon inscribed in a circle with radius r=8 cm. What is its perimeter? - Silo

Outer perimeter of silo is 32 m. Concrete wall is 35 cm thick. What is diameter and area of inside floor of silo? - Square

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? - Saw

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? - Road

Average climb of the road is given by ratio 1:15. By what angle road average climb? - Greatest angle

Calculate the greatest triangle angle with sides 197, 208, 299. - Hop-garden

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? - Q-Exam

If tg α = 0.9, Calculating sin α, cos α, cotg α .

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