Pythagorean theorem + polygon - practice problems
Number of problems found: 65
- Calculate 2566
Calculate the area of a regular hexagon with side a = 2cm - Five-gon
Calculate the side a, the circumference, and the area of the regular 5-angle if Rop = 6cm. - 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? - Circumscribed 7290
Calculate the area of a regular hexagon if the radius of the circle circumscribed is 6.8 cm.
- Calculate 2201
Calculate the diagonals in the deltoid with sides of 10, 12.6, and 5 cm. - Hexagon area
The center of the regular hexagon is 21 cm away from its side. Calculate the hexagon side and its area. - Decagon
Calculate the area and circumference of the regular decagon when its radius of a circle circumscribing is R = 1m - 30-gon
At a regular 30-gon, the radius of the inscribed circle is 15cm. Find the side length a, circle radius R, circumference, and area. - Regular n-gon
Which regular polygon has a radius of circumscribed circle r = 10 cm and the radius of inscribed circle p = 9.962 cm?
- 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? - 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. - Diagonals in diamond
In the rhombus is given a = 160 cm, alpha = 60 degrees. Calculate the length of the diagonals. - Circumscribed 22713
Calculate the circumference and the area of a regular ten-angle polygon if the radius of the circumscribed circle r = 20 cm. - 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.
- Difference 80618
A regular hexagon is described and inscribed in a circle. The difference between its areas is 8√3. Find the circle's radius. - The mast
A 40 m high mast is secured in half by eight ropes 25 m long. The ends of the ropes are equidistant from each other. Calculate this distance. - Center of gravity
In the isosceles triangle ABC is the ratio of the lengths of AB and the height to AB 10:12. The arm has a length of 26 cm. If the center of gravity is T, find the area of the triangle ABT. - Pentagon
Calculate the length of a regular pentagon's side, circumference, and area, inscribed in a circle with a radius r = 6 cm. - Hexagon 8167
How many dm² of organic glass is needed to produce 50 washers in the shape of a regular hexagon? The side is 8 cm long.
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