Square practice problems - page 141 of 143
Number of problems found: 2852
- A cell tower
A cell tower is located at coordinates (-5, -7) and has a circular range of 12 units. If Mr. XYZ is located at coordinates (4,5), will he be able to get a signal?
- Fountain
Around a circular fountain with a diameter of 2m, there is a 0.5m wide strip of land for planting roses. How many m² of land do roses occupy?
- 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?
- 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
- Perpendicular sides
In the ABCDEFGHIJKL, the two adjacent sides are perpendicular to each other, and all sides except the AL and GF sides are identical. The AL and GF sides are twice as long as the other sides. The lines BG and EL intersect at point M. The quadrilateral ABMJ
- Inaccessible direct
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,
- Circular 72244
How many kg of grass seed must be bought to start a lawn in the shape of a circular section with a radius of r= 15 m and a central angle of 45 degrees if 1 g of grass seed is used per 1 dm of the square area?
- 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?
- Flakes
A circle was inscribed in the square. We draw a semicircle above each side of the square as above the diameter. This resulted in four chips. Which is bigger: the area of the middle square or the area of the four chips?
- Chords centers
The circle has a diameter of 17 cm, upper chord |CD| = 10.2 cm, and bottom chord |EF| = 7.5 cm. The chords H and G midpoints are |EH| = 1/2 |EF| and |CG| = 1/2 |CD|. Find the distance between the G and H if CD II EF (parallel).
- Hexagonal pyramid
The pyramid's base is a regular hexagon, which can be circumscribed in a circle with a radius of 1 meter. Calculate the volume of a pyramid 2.5 meters high.
- 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 tower
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.
- Angle of diagonal
The angle between the body diagonal of a regular quadrilateral and its base is 60°. The edge of the base has a length of 10cm. Calculate the body volume.
- Sprinkler 80801
A sprinkler is located in the park at a distance of 3m from the sidewalk. Water blasted up to a distance of max. 5m. What is the maximum length of the sidewalk it will cover?
- 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.
- 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.
- Circle sector
The circular sector with a central angle 160° has an area 452 cm². Calculate its radius r.
- Tunnel boring
How much material did they dig when cutting the 400m long tunnel? The area of the circular segment, which is the cross-section of the tunnel, is 62m².
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