Area + angle - practice problems - page 7 of 15
Number of problems found: 293
- Square diagonal construction
There are three different points, C, E, and F, in the plane. Please draw the square ABCD when E and F lie on the diagonals of this square. How many solutions does the task have? - Octagonal pyramid
Find the volume of a regular octagonal pyramid with height v = 100 and the angle of the side edge with the base plane is α = 60°. - Tetrahedral pyramid
Determine the surface of a regular tetrahedral pyramid when its volume is V = 120 and the angle of the sidewall with the base plane is α = 42° 30'. - Eq triangle minus arcs
In an equilateral triangle with a 2 cm long side, the arcs of three circles are drawn from the centers at the vertices and radii 1 cm. Calculate the area of the shaded part - a formation that makes up the difference between the triangle area and circular - Hexagon
Calculate the surface area of the regular hexagonal prism, whose base edge a = 12 cm and side edge b = 3 dm. - Irregular pentagon
A rectangle-shaped, 16 x 4 cm strip of paper is folded lengthwise so that the lower right corner is applied to the upper left corner. What area does the pentagon have? - Circular railway
The railway connects points A, B, and C in a circular arc, whose distances are | AB | = 30 km, AC = 95 km, and BC | = 70 km. How long will the track be from A to C? - Heptagonal pyramid
A hardwood for a column is in the form of a frustum of a regular heptagonal pyramid. The lower base edge is 18 cm, and the upper base is 14 cm. The altitude is 30 cm. Determine the weight in kg if the wood density is 10 grams/cm³. - Calculate sides
In the triangle, the side length AB = 6 cm, the height to side c = 5 cm, and the angle BCA = 35°. Calculate sides a b. - Circle arc segment
A circle with a radius r=8 cm is divided by points K and L in a ratio of 5 to 4. Calculate the sizes of the center and circumferential angles, corresponding to both arcs and the area of the larger segment. - Circular section area Calculate the area of a circular section given by an angle of 220 degrees if the circle's radius is 20 cm. Round the result to cm2
- Mice
Mice consumed a circular hole in a slice of cheese. The cheese is a circular cut with a radius of 20 cm and an angle of 90 degrees. What percentage of the cheese ate mice if they made 20 holes with a diameter of 2 cm? - Washers Glass Area Hexagon
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. - Pyramid Side Edge Length
If the pyramid's height is 4 cm and the base area is 16 cm2, include the side edge length of a regular quadrilateral pyramid. - Prism diagonal
The body diagonal of a regular square prism has an angle of 60 degrees with the base, and the edge length is 10 cm. What is the volume of the prism? - Parallelogram
The sides of the parallelogram are 8 cm and 6 cm long, and the diagonals' angle is 60°. What is its area? - Diagonals at right angle
In the trapezoid ABCD, this is given: AB=12 cm CD=4 cm And diagonals crossed under a right angle. What is the area of this trapezoid ABCD? - Lampshade fabric calculation
Lampshade for the face of a truncated cone with a height of 20 cm. The upper diameter of the shade is 13 cm, the lower 36 cm, and the side forms an angle of 60 degrees with the lower diameter. At least how much fabric is needed to make this shade? - Dividing a Circle
Draw a circle k, r = 4 cm, and divide it into two parts in a ratio of 1:5. - Isosceles Triangle Interior Angles
The area of the isosceles triangle is 8 cm2, and its arm's length is 4 cm. Calculate the sizes of its interior angles.
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