# 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: 1949 Find the radius of the circle with area S = 200 cm².
• 6-gon Perimeter of regular hexagon is 113. Calculate its circumradius (radius of circumscribed circle).
• Triangle For how many integer values of x can 16, 15 and x be the lengths of the sides of triangle?
• Clock face clock face is given. Numbers 10 and 5, and 3 and 8 are connected by straight lines. Calculate the size of their angles.
• Isosceles trapezoid v3 In an isosceles trapezoid ABCD is the size of the angle β = 81° Determine size of angles α, γ and δ.
• Park In the park is marked diamond shaped line connecting locations A, D, S, C, B, A. Calculate its length if |AB| = 108 m, |AC| = 172.8 m.
• Tetrahedron Calculate height and volume of a regular tetrahedron whose edge has a length 4 cm. Convert 270° to radians. Write result as multiple of number π.
• Right triangle Right triangle ABC with side a = 19 and the area S = 95. Calculate the length of the remaining sides.
• Distance between 2 points Find the distance between the points (7, -9), (-1, -9)
• Equilateral triangle Calculate the area of an equilateral triangle with circumference 72cm.
• Equilateral triangle The equilateral triangle has a 23 cm long side. Calculate its content area.
• Areaf of ST It is given square DBLK with side |BL|=13. Calculate area of triangle DKU if vertex U lie on line LB.
• Triangle ABC Right triangle ABC with right angle at the C, |BC|=18, |AB|=33. Calculate the height of the triangle hAB to the side AB.
• Ten persons Ten persons, each person makes a hand to each person. How many hands were given?
• Table Find the circumference of the table, where the long side is 1.28 meters and the short side is 86 cm. Determine the radius of the circle, if its perimeter and area is the same number.
• Roller Cylinder shell has the same content as one of its bases. Cylinder height is 15 dm. What is the radius of the base of the cylinder?
• Triangle Calculate the sides of the triangle if its area S = 630 and the second cathethus is shorter by 17.
• Diagonals in diamond In the rhombus is given a = 160 cm, alpha = 60 degrees. Calculate the length of the diagonals.

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