Planimetrics + polygon - practice problems - page 2 of 7
Number of problems found: 133
- The perimeter 6
The perimeter of the quadrilateral is 442.95 cm. The three known sides measure 84.56 cm,132.77 cm, and 82.75 cm. How long is the fourth side? - In a 2
In a thirteen-sided polygon, the sum of five angles is 1274°, four of the eight angles remaining are equal, and the other four are 18° less than each of the equal angles. Find the angles. - Six-fourteenths 7295
Seven twelfth windows in the castle are in the shape of an n-gon. Six-fourteenths of these windows are quadrangular in shape, while two-ninths of them are square windows. How many windows are there in the castle if there are 15 square windows? - Interior angles - sum
For the sum s of the interior angles of a polygon, where n is the number of its sides, the relation s=(n−2)⋅180 degrees applies. How many sides does a polygon have if the sum of its interior angles is 900°?
- Diagonals 7029
The number of diagonals of a given polygon is 88 more than the number of its sides. How many sides does this polygon have - Perimeter 63114
The perimeter of the regular octagon is 8u + 16 cm. Calculate the side if u = 0.5 cm. - Regular n-gon
In a regular n-angle polygon, the internal angle is 144 degrees. Find the number n indicating the number of sides of this polygon. - Circle and hexagon
Calculate the radius of a circle whose circumference is 8.4 cm longer than the inscribed regular hexagon's circumference. - Determine 81587
Determine the type of polygon if the number of all diagonals is 90. (Write down the number of its pages.)
- Polygon 42
Which polygon has 42 more diagonals than sides? - Diagonals 8397
Does a hexagon have 275 diagonals? - Irregular hexagon
There is an irregular hexagon whose sides are the same length. The opposite sides are parallel; their distance is 237, 195, and193. What is its area? - Right-angled 66344
From a square with a side of 4 cm, we cut four right-angled isosceles triangles with right angles at the square's vertices and with an overlap of √2 cm. We get an octagon. Calculate its perimeter if the area of the octagon is 14 cm². - Octagon from rectangle
From a rectangular tablecloth shape with dimensions of 4 dm and 8 dm, we cut down the corners in the shape of isosceles triangles. It thus formed an octagon with an area of 26 dm². How many dm² do we cut down?
- Quadrilateral 66614
The picture shows a square ABCD with the center S and the side 8 cm long. Point E is any point on the CD side other than C and D. Calculate the area of the ASBE quadrilateral in cm². - Ferdinand
Ferdinand went from place A to place B and from there to place C. A is 7.2 km from B, and B is 11.7 km from C. Albert went from place A to place D and from there to place C. D is 9.1 km from A and C is 10.8 km from D. Who traveled more and by how much? - 6 regular polygon
A regular six-sided polygon has a side 5 cm long. Calculate its area. Compare how many more cm² (square centimeters) has a circle inscribed the 6-gon. - Vegetable garden
The four sides of a vegetable garden are 15 1/2 feet, 18 3/4 feet, 24 1/4 feet, and 30 1/2 feet. How many feet of fencing are needed to go around the garden? (write the answer as the whole number) - Rectangle JANO
The rectangle has side lengths | JA | = 16cm and | AN | = 12cm. Point S is the center of the JO side, and point T is the center of the JA side. Calculate the perimeter of the pentagon in cm.
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