# 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: 2231

• Rectangle In a rectangle with sides, 8 and 9 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?
• 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?
• Map Forest has an area of ​​36 ha. How much area is occupied by forest on the map at scale 1:500?
• Wire One pull of wire is reduced its diameter by 14%. What will be the diameter of wire with diameter 19 mm over 10 pulls?
• Estate An estate-shaped rectangular trapezoid has bases long 34 m, 63 m, and perpendicular arm 37 m. Calculate how long its fence is.
• 4-gon It is true that a 4-gon whose two sides are parallel and the other two has equal length, is a parallelogram?
• Triangle P2 Can a triangle have two right angles?
• Triangle Prove whether you can construct a triangle ABC, if a=9 cm, b=6 cm, c=10 cm.
• Angle Draw angle |∠ ABC| = 130° and built its axis. What angle is between axis angle and arm of angle?
• Cable The 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?
• Pipeline How much percent has changed (reduced) area of the pipe cross-section if circular shape changed to square with the same perimeter?
• Circles 2 Calculate the area bounded by the circumscribed and inscribed circle in triangle with sides 12 cm, 14 cm, 18 cm.
• Square Calculate area of the square with diagonal 64 cm.
• Arc and segment Calculate the length of circular arc l, area of the circular arc S1 and area of circular segment S2. Radius of the circle is 11 and corresponding angle is (2)/(12) π.
• Height Is it true that the height is less or equal to half of the hypotenuse in any right triangle?
• Height 2 Calculate the height of the equilateral triangle with side 27.
• Octagon We have a square with a side 56 cm. We cut 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?
• Rectangular field One dimension of the rectangular field is 56 m greater than second dimension. If each side of the rectangle increases by 10 m, increases the surface field is 1480 m2 . Determine dimencions of the field.

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