Area + length - practice problems - page 39 of 40
Number of problems found: 786
- Arc and segment
Calculate the length of circular arc l, the area of the circular arc S1, and the area of circular segment S2. The circle's radius is 88, and the corresponding angle is (4)/(7) π.
- Sphere
The sphere's surface is 28500 cm², and the weight is 34.2 kg. What is its density?
- Diagonals of the rhombus
Calculate the height of the rhombus whose diagonals are 18 cm and 6 cm.
- Garden
How many steps of 76 cm circumvent the square garden with area 1.8 ha?
- Rainfall
Annual rainfall in our country is an average of 619 mm. How many m³ of water rains on average per hectare?
- Sphere slices
Calculate the volume and surface of a sphere if the radii of a parallel cut r1=32 cm, r2=47 cm, and its distance v=21 cm.
- Equilateral triangle
Calculate the side of an equilateral triangle if its area is 886 mm².
- The cap
A rotating cone shapes a jester hat. Calculate how much paper is needed for the cap 53 cm high when the head circumference is 45 cm.
- Copper sheet
The copper plate has a length of 2.2 m, width 92 cm, and weighs 5.6 kg. What is the plate thickness if 1 m³ weighs 8732 kg?
- Black building
Keith built building with a rectangular shape 6.5 m × 3.9 m. Calculate how much percent exceeded the limit 25 m² for a small building. A building not built by the law is called a "black building". Calculate the angle that the walls were clenching each oth
- Right triangle
The legs of the right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle.
- Magnification of the square
If we increase the square side, increase the area of the 57 %. About what percentage was increased on its side?
- Circle and angle
What is the length of the arc of a circle with radius r = 207 mm with central angle 5.33 rad?
- Similarity n-gon
6-gones ABCDEF and A'B'C'D'E'F' are similar. The area of 6-gon ABCDEF is S1=248 m², and the diagonal length FA is 28 m. Calculate the area of the 6-gon A'B'C'D'E'F' if F'A' = 36 m.
- Glass mosaic
How many dm² glasses are necessary to produce 97 slides of a regular 6-gon, whose side has a length of 21 cm? Assume that cutting glass waste is 10%.
- Rectangles
Calculate how many squares/rectangles of size 4×3 cm we can cut from a sheet of paper of 36 cm×32 cm.
- Circle arc
The circle segment has a circumference of 135.26 dm and 2096.58 dm² area. Calculate the radius of the circle and the size of the central angle.
- Slovak broad track
Once upon a time, we learned in school that the Ukrainian have "wider" tracks than ours because they have less tolerable ground. In truth, decide only the area of sleepers, no track gauge. Calculate how many millimeters our track is 1435 mm, different fro
- Area of trapezoid
The trapezoid bases are 9 dm and 7 dm. Its height is 3 cm. Calculate the area of the trapezoid.
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