Square practice problems - page 136 of 137
Number of problems found: 2733
- Circular arc
Calculate the center angle and length of the circular arc if the radius r = 21 cm and the area of the slice is 328.5 cm²
- Goat
The fenced flower bed has the shape of a regular hexagon. The tops are formed by fence posts. The fence around the flowerbed measures 60 m. A goat is tied to one of the pillars from the outside and grazes on the surrounding meadow (the goat should not ent
- Quadrilateral pyramid
In a regular quadrilateral pyramid, the side edge is e = 7 dm, and the base's diagonal is 50 cm. Calculate the pyramid shell area.
- 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.
- A rhombus 4
A rhombus has a side length of 10 cm. Find the angles at each corner of the rhombus if the shorter of the two diagonals measures 7 cm. Give your answers to the nearest degree and give clear geometric reasoning at each stage of your solution.
- Semicircle
The ornament consists of one square and four dark semicircles. The area of the square is 4 cm². Find the area of one dark semicircle and round the result to hundreds.
- Inaccessible 69794
Determine the distance between two inaccessible places P, Q, if the distance between two observation points A, B is 2000m and if you know the size of the angles QAB = 52°40''; PBA = 42°01''; PAB = 86°40'' and QBA = 81°15''. The considered locations A, B,
- 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.
- Tetrahedral pyramid
What is the surface of a regular tetrahedral (four-sided) pyramid if the base edge a=16 and height v=16?
- Circular segment
What is the radius of a circular section whose central angle is 36° and the area of S = 53.095 cm²?
- A goat
In the square garden of side (a), a goat is tied in the middle of one side. Calculate the length of the rope (r) so that the goat grazes exactly half the garden. If r = c * a, find the constant c.
- Diagonals in diamond
In the rhombus, a = 160 cm and alpha = 60 degrees are given. Calculate the length of the diagonals.
- Archaeologists 81478
Archaeologists need to find out the size of the vessel if the sherd found was in the shape of a circular section with a length of 12 cm and a height of 3 cm. What is the area of this section?
- Diagonals
Calculate the length of the rhombus's diagonals if its side is long 21 and one of its internal angles is 10°.
- Around
Around the circular flowerbed with a radius of 2 m is a sidewalk 80 cm wide. How many square meters does the sidewalk have?
- 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.
- 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.
- Circle arc
Calculate the circular arc area in m² where the diameter is 263 dm and the central angle is 40°. Please result round to three decimal places.
- Circular 82418
A circular segment has an area of 6.04 cm², the central omega angle is 15 degrees, what is the radius?
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