Area of Polygon Problems
Number of problems found: 114
- Two similar 2
Two similar polygons have corresponding sides 15 inches and 6 inches. If the area of the first is 2700 square inches, what is the area of the second? - The volume 8
The volume of a right regular hexagonal prism is 187.2 cubic millimeters. The line segment that has a length of 2.6 millimeters begins at the center of the hexagon and ends at one side of the hexagon. 3 mm base. Find the height. - Calculate hexagon
Calculate the area of a regular hexagon with side a = 2 cm. - Hexagon area calculation
Calculate the area of a regular hexagon inscribed in a circle with a radius r = 7 cm. - Hexagon dragon area
The dragon has the shape of a regular hexagon inscribed in a circle with a radius of 20 cm. What is the area of the dragon? - Hexagon Area from Radius Calculate the area of a regular hexagon if the radius of the circle circumscribed is 6.8 cm.
- Arbor
Calculate in square metres the area of an arbour whose ground plan is in the shape of a regular hexagon with a side length of 4.5 m. - Dodecagon
Find the area of a regular dodecagon (n=12) if the radius of the circumscribed circle is 5 cm. - Octagon area
An irregular convex octagon is inscribed in the circle. Its four adjacent sides have a length of 3, and the remaining four adjacent sides have a size of 2. What is the area of a given octagon? - Diagonals of pentagon
Calculate the diagonal length of the regular pentagon: a) inscribed in a circle of radius 12 dm; b) a circumscribed circle with a radius of 12 dm. - The perimeter
The perimeter of equilateral △PQR is 12. The perimeter of the regular hexagon STUVWX is also 12. What is the ratio of the area of △PQR to STUVWX? - A dodecagon
Find the surface area of a regular 12-sided polygon if its side is a = 12 cm. - Pentagon
Calculate the area of a regular pentagon whose diagonal has length u = 18. - Parallelogram 44
Parallelogram ABCD has an area of 32 cm², |AB| = 8 cm, |BC| = 5 cm. Calculate the sizes of its interior angles. - Decagon
Calculate the area and circumference of the regular decagon when its radius of a circle circumscribing is R = 1 m - Hexagon area
The center of the regular hexagon is 21 cm away from its side. Calculate the hexagon side and its area. - Hexagon circle radius A regular hexagon is described and inscribed in a circle. The difference between its areas is 8√3. Find the circle's radius.
- Square quadrilateral area
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. - 30-gon
The radius of the inscribed circle is 15 cm at a regular 30-gon. Find the side length a, circle radius R, circumference, and area. - Hexagon ABCDEF
In the regular hexagon ABCDEF, the diagonal AE has a length of 8 cm. Calculate the circumference and the hexagon area.
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