The unit conversion of angle problems - page 18 of 19
Number of problems found: 369
- Quadrilateral 82146
Calculate the volume and surface area of a regular quadrilateral prism with base edge a=24 cm if the body diagonal makes an angle of 66° with the base.
- Corresponding 6021
How much paint do we need to paint a pool in the shape of a 6-sided prism? The base edge measures 21 dm, the corresponding height is 1.8 m, and the pool height is 150 cm. We need 0.21 kg of paint per 1 m².
- Goat and circles
What is the radius of a circle centered on the other circle, and is the intersection of the two circles equal to half the area of the first circle? This task is the mathematical expression of the role of agriculture. The farmer has circular land on which
- Two forces
The two forces, F1 = 580N and F2 = 630N, have an angle of 59 degrees. Calculate their resultant force, F.
- Length of the chord
Calculate the length of the chord in a circle with a radius of 25 cm and a central angle of 26°.
- 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.
- Seats on carousel
There are 12 seats evenly distributed on the children's carousel in the shape of a circle. How long is the arm of the carousel (connecting the center of the carousel to the seat) if the distance between the two seats is 1.5m?
- 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,
- Diagonals in diamond
In the rhombus, a = 160 cm and alpha = 60 degrees are given. Calculate the length of the diagonals.
- Diagonals
Calculate the length of the rhombus's diagonals if its side is long 21 and one of its internal angles is 10°.
- 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?
- 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.
- ABCDEFGHIJKL 8426
The given is a regular hexagonal prism ABCDEFGHIJKL, which has all edges of the same length. Find the degree of the angle formed by the lines BK and CL in degrees.
- A chord
In a circle radius of 6 cm, a chord is drawn 3 cm from the center. Calculate the angle subtended by the cord at the center of the circle Hence find the length of the minor arc cut off by the chord.
- The central
The central angle of a sector is 30°, and the radius is 15 m. Determine its perimeter.
- 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?
- 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.
- Circle's 81078
The chord of a circle is 233 long, and the length of the circular arc above the chord is 235. What is the circle's radius, and what is the central angle of the circular arc?
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