Square practice problems - page 148 of 153
Number of problems found: 3052
- Quadrilateral prism
Calculate the volume and surface of a regular quadrilateral prism with a base edge a = 46 mm and a height v = 0.67 dm. - Chord and radius
Calculate the radius of a circle whose chord XY is 8 cm long and whose centre is 3 cm from the chord. - Calculate chord
A circle k (S, 5 cm) is given. Calculate the length of the chord of the circle k if it is 3 cm from the center S. - Chord distance
There is a 12 cm long chord in a circle with a radius of 10 cm. Calculate the distance of the chord from the center of the circle. - Ratio of squares
A circle is given, and a square is inscribed. The smaller square is inscribed in a circular arc formed by the square's side and the circle's arc. What is the ratio of the areas of the large and small squares? - A rhombus 4
A rhombus has a side length of 10 cm. Find the angles at each vertex of the rhombus if the shorter diagonal measures 7 cm. Give your answers to the nearest degree and provide clear geometric reasoning at each step. - The cone
The cone's lateral surface area is 4 cm², and the area of the base is 2 cm². Find the angle in degrees (deviation) of the cone sine and the cone base plane. (The cone side is the segment joining the vertex cone with any point of the base circle. All sides - MO Z9–I–2 - 2017
In trapezoid VODY, VO is the longer base. The diagonal intersection K divides segment VD in the ratio 3:2. The area of triangle KOV is 13.5 cm². Find the area of the entire trapezoid. - Rectangular trapezoid
The rectangular trapezoid ABCD is: /AB/ = /BC/ = /AC/. The length of the median is 6 cm. Calculate the perimeter and area of a trapezoid. - Pyramid-shaped roof
A block-shaped shed is covered with a quadrilateral pyramid-shaped roof with a base with sides of 6 m and 3 m and a height of 2.5 m. How many m² (square meters) must be purchased if an extra 40% is calculated for roofing and waste? - The coil
How many ropes (a diameter of 8 mm) fit on the coil (threads are wrapped close together)? The coil has the following dimensions: The inner diameter is 400 mm. The outside diameter is 800 mm. The length of the coil is 470 mm. - Circle - equation
The circle is given by the equation x² + y² − 4x + 2y − 11 = 0. Calculate the area of the regular hexagon inscribed in this circle. - Edge of prism
The regular quadrilateral prism has a surface of 250 dm². Its shell has an area of 200 dm². Calculate its leading edge. - Chord center distance Calculate the distance of a chord 19 cm long from the center of a circle with a diameter of 28 cm.
- Polygon 3
Polygon ABCD is dilated, rotated, and translated to form polygon QWER. The endpoints A and B are at (0, -7) and (8, 8), and the endpoints QW are at (6, -6) and (2, 1.5). What is the scale factor of the dilation? - 9-sided pyramid
Calculate the surface area and volume of a regular nine-sided pyramid if the radius of the circle inscribed in the base measures ρ = 12 cm and the height of the pyramid is 24 cm - Trapezoid
Calculate the area of trapezoid ABCD with sides |AB|= 78 cm, |BC|=51 cm, |CD|=15 cm, |AD|=30 cm.. - Ellipse
An ellipse is given by the equation 9x² + 25y² − 54x − 100y − 44 = 0. Find the lengths of the major and minor axes, the eccentricity, and the coordinates of the centre of the ellipse. - Perimeter of rhombus
The area of the rhombus is 32 cm². One side measures 10 cm. The height on the other side measures 5 cm. What is the perimeter of this rhombus? - Parallelogram ABCD
The area of parallelogram ABCD is 906 cm². Points M and N are the midpoints of the sides AB and BC. What is the area of a quadrilateral MBND?
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