# 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.- V-belt

Calculate the length of the belt on pulleys with diameters of 105 mm and 393 mm at shaft distance 697 mm. - Triangle

Calculate heights of the triangle ABC if sides of the triangle are a=75, b=84 and c=33. - Equilateral triangle

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

Calculate missing side in a triangle with sides 17 and 34 and area 275. - Diamond

Determine the side of diamond if its content is S = 353 cm^{2}and one diagonal u_{2}= 45 cm. - Track arc

Two straight tracks is in an angle 74°. They will join with circular arc with radius r=1127 m. How long will be arc connecting these lines (L)? How far is the center point of arc from track crossings (x)? - Circle

How big is area of circle if its circumference is 80.6 cm? - ABS CN

Calculate the absolute value of complex number -15-29i. - Chord MN

Chord MN of circle has distance from the center circle S 120 cm. Angle MSN is 64°. Determine the radius of the circle. - Median

The median of the triangle LMN is away from vertex N 84 cm. Calculate the length of the median, which start at N. - Steeple

Steeple seen from the road at an angle of 75°. When we zoom out to 25 meters, it is seen at an angle of 20°. What is high? - Cable car

Cable car rises at an angle 45° and connects the upper and lower station with an altitude difference of 744 m. How long is "endless" tow rope? - Circle

On the circle k with diameter |MN| = 61 J lies point J. Line |MJ|=22. Calculate the length of a segment JN. - Shooter

The probability that a good shooter hits the center of the target circle I is 0.1. The probability that the target hit intercircle is II 0.58. What is the probability that it hits the target circle I or II? - Isosceles right triangle

Calculate the area of an isosceles right triangle whose perimeter is 377 cm. - Descent of road

Road sign informs the gradient is 10.3%. Calculate the angle which average decreases. - Black building

Keith built building with a rectangular shape 6.5 m × 3.9 m. Calculate how much percent exceeded the limit 25 m^{2}for small building. Building not built in accordance with the law is called "black building". Calculate the angle that the walls were clenchi - Right triangle

Legs of the right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle. - Circle and angle

What is the length of the arc of a circle with radius r = 207 mm with cental angle 5.33 rad? - Magnification of the square

If we increase the square side, increase the content of the 94 %. About what percentage was increased his sides?

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