# 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.- Map

Forest has an area of 36 ha. How much area is occupied by forest on the map at scale 1:500? - Common chord

Two circles with radius 17 cm and 20 cm are intersect at two points. Its common chord is long 27 cm. What is the distance of the centers of these circles? - Wire

One pull of wire is reduced its diameter by 14%. What will be diameter of wire with diameter 19 mm over 10 pulls? - Estate

Estate shaped rectangular trapezoid has bases long 34 m , 63 m and perpendicular arm 37 m. Calculate how long is its fence. - Triangle P2

Can triangle have two right angles? - Rectangle

In rectangle with sides, 6 and 3 mark the diagonal. What is the probability that a randomly selected point within the rectangle is closer to the diagonal than to any side of the rectangle? - 4-gon

It is true that a 4-gon whose two sides are parallel and the other two has equal length, is a parallelogram? - Angle

Draw angle |∠ ABC| = 130° and built its axis. What angle is between axis angle and arm of angle? - Triangle

Prove whether you can construct a triangle ABC, if a=9 cm, b=6 cm, c=10 cm. - Square

Calculate area of the square with diagonal 64 cm. - 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. - Circumscription

Calculate radius of the Circumscribed circle in the rectangle with sides 20 and 19. It can be rectangle inscribed by circle? - Height 2

Calculate the height of the equilateral triangle with side 38. - Height

Is right that in any right triangle height is less or equal half of the hypotenuse? - Pipeline

How much percent has changed (reduced) area of pipe cross-section, if circular shape changed to square with same perimeter? - Circles 2

Calculate the area bounded by the circumscribed and inscribed circle in triangle with sides 12 cm, 14 cm, 18 cm. - Octagon

We have a square with side 84 cm. We cut the corners to make his octagon. What will be the side of the octagon? - Meridian

What is the distance (length) the Earth's meridian 23° when the radius of the Earth is 6370 km? - Arc and segment

Calculate the length of circular arc l, area of the circular arc S_{1}and area of circular segment S_{2}. Radius of the circle is 11 and corresponding angle is ?. - Center traverse

It is true that the middle traverse bisects the triangle?

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