Right triangle + square (second power, quadratic) - practice problems - last page
Number of problems found: 738
- Tetrahedral pyramid
What is the surface of a regular tetrahedral (four-sided) pyramid if the base edge a=16 and height v=16? - Pavement
Calculate the length of the pavement that runs through a circular square with a diameter of 40 m if the distance of the pavement from the center is 15 m. - The circle arc
Calculate the span of the arc, which is part of a circle with diameter d = 11 m and its height is 5 m. - Quadrilateral prism
Calculate the volume of a quadrilateral prism whose base is an isosceles trapezoid with bases 10 cm and 4 cm, 6 cm apart. The height of the prism is 25 cm. How could the surface area be calculated?
- Centimeter 5670
The tower of the Dean's Church in Ústí nad Labem deviates from the original vertical axis by 220 cm. Its original height was 48 m. At what height is the highest point of this tower now? Enter the result to the nearest centimeter. - Circular ring
A square with an area of 16 centimeters is inscribed circle k1 and described to circle k2. Calculate the area of the circular ring, which circles k1, and k2 form. - Cone A2V
The cone's surface in the plane is a circular arc with a central angle of 126° and an area of 415 cm². Calculate the volume of a cone. - Truncated pyramid
The concrete pedestal in a regular quadrilateral truncated pyramid has a height of 12 cm; the pedestal edges have lengths of 2.4 and 1.6 dm. Calculate the surface of the base. - 4side pyramid
Calculate the volume and surface of the regular four-sided pyramid whose base edge is 4 cm long. The angle from the plane of the sidewall and base plane is 60 degrees.
- Concentric circles
In the circle with diameter, 13 cm is constructed chord 1 cm long. Calculate the radius of a concentric circle that touches this chord. - Square equal rhombus
Construct a square that has the same area as a rhombus ABCD if |AB| = 5cm, |AD| = 4cm, and angle |DAB| = 30°. - Chord - TS v2
The radius of circle k measures 72 cm. Chord GH = 11 cm. What is TS? - Chord BC
A circle k has the center at the point S = [0; 0]. Point A = [40; 30] lies on the circle k. How long is the chord BC if the center P of this chord has the coordinates [- 14; 0]? - Perimeter 83352
A circle with a diameter of 30 cm is cut by a chord t = 16 cm. Calculate the perimeter and area of the smaller segment.
- Circular segment
Calculate the area S of the circular segment and the length of the circular arc l. The height of the circular segment is 2 cm, and the angle α = 60°. Help formula: S = 1/2 r². (Β-sinβ) - Quadrilateral 2
Show that the quadrilateral with vertices A(0,1), B(4,2), C(3,6) D(-5,4) has two right triangles. - Cylinder horizontally
The cylinder with a diameter of 3 m and a height/length of 15 m is laid horizontally. Water is poured into it, reaching a height of 60 cm below the cylinder's axis. How many hectoliters of water is in the cylinder? - Circular pool
The pool's base is a circle with a radius r = 10 m, excluding a circular segment that determines the chord length of 10 meters. The pool depth is h = 2m. How many hectoliters of water can fit into the pool?
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