# 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: 1947

• It is rectangular? Size of two of the angles in a triangle are: α=110°, β=40°. Is it a right triangle?
• Content area and percents Determine what percentage is smaller cube surface, when the surface area of the wall decreases by 25%.
• Parallelogram Side a of parallelogram is twice longer than side b. Its circumference is 78 dm. Calculate the length of the sides of a parallelogram.
• Sides of the triangle Calculate triangle sides where its area is S = 84 cm2 and a = x, b = x + 1, xc = x + 2
• Angle between vectors Find the angle between the given vectors to the nearest tenth of a degree. u = (-22, 11) and v = (16, 20)
• OK circle Calculate the radius (circumradius) of the circle described right triangle with hypotenuse long 33 and one cathetus long 17.
• Clock How many times a day hands on a clock overlap?
• Find the Find the content of a regular 12 sided polygon, if its side a = 12 cm.
• Height difference What height difference overcome if we pass road 1 km long with a pitch21 per mille?
• Is right triangle or not If right triangle ABC, have sides a=13, b=11.5, c=22.5. Find area.
• Triangle IRT In isosceles right triangle ABC with right angle at vertex C is coordinates: A (-1, 2); C (-5, -2) Calculate the length of segment AB.
• Inscribed rectangle The circle area is 216. Determine the area of inscribed rectangle with one side 5 long.
• CD disc A compact disc has a diameter of 11.8 cm. What is the surface area of the disc in square centimeters?
• Diagonals Draw a square ABCD whose diagonals have a length of 6 cm
• Sphere cuts At what distance from the center intersects sphere with radius R = 56 plane, if the cut area and area of the main sphere circle is in ratio 1/2.
• Heron backlaw Calculate missing side in a triangle with sides 17 and 34 and area 275.
• Height of pyramid The pyramid ABCDV has edge lengths: AB = 4, AV = 7. What is its height?
• Wheel Diameter of motocycle wheel is 52 cm. How many times rotates wheel on roand long 2 km?
• Spruce height How tall was spruce that was cut at an altitude of 8m above the ground and the top landed at a distance of 15m from the heel of the tree?
• The cube The surface of the cube is 150 square centimeters. Calculate: a- the content of its walls b - the length of its edges

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