Circle practice problems - page 35 of 51
Number of problems found: 1002
- Carnival hat paper
How many square decimeters of decorative paper are needed to make cone-shaped carnival hats for 46 first-graders if the first-graders head perimeter is 49 cm and the cap height is 33 cm? Is it necessary to add 3% paper to the folds? - Carousel for children
There are 5 seats evenly distributed on the children's carousel in the shape of a circle. What kind the arm of the carousel (connecting the center of the carousel to the seat) is long if the distance between with two seats is 1.2 m? - Hexagon in circle
Calculate the radius of a circle whose length is 10 cm greater than the circumference of a regular hexagon inscribed in this circle. - Silver medal
A circular silver medal with a diameter of 10 cm is an inscribed gold cross consisting of five equal squares. What is the area of the silver part? b) What is the area of the Golden Cross? - Rhombus and inscribed circle
It is given a rhombus with side a = 6 cm and the inscribed circle r = 2 cm radius. Calculate the length of its two diagonals. - Cylinder sheet calculation
Calculate the area of sheet metal needed to make a closed cylindrical vessel with a radius of 2.5 m and a height of 1.2 m if the joints and waste count for 6%. - Tinsmith
A tinsmith constructs a chimney pipe 186 cm long and 16 cm in diameter. The pipe is made from a flat sheet with an overlap of $x cm at the seam. What dimensions must the sheet have? - Pentadecagon
Calculate the area of a regular 15-side polygon inscribed in a circle with a radius r = 4. Express the result to two decimal places. - Concentric circles
There is given a Circle K with a radius r = 8 cm. How large must a radius have a smaller concentric circle that divides the circle K into two parts with the same area? - Semicircles
In a rectangle with sides of 4 cm and 8 cm, there are two different semicircles, each with its endpoints at adjacent vertices and touching the opposite side. Construct a square such that two of its vertices lie on one semicircle, the other two vertices li - Circle construction
Draw the line KL = 55 mm. Draw a circle k with center K and a radius of 4 cm. Mark the points to belong to the circle and connect them with point L. - Point distance
Draw the line segment AB, AB = 5 cm. Draw a set of points 2 cm away from line AB. What shape does this set of points form? - Hexagon circle radius
A regular hexagon is described and inscribed in a circle. The difference between its areas is 8√3. Find the circle's radius. - Bed sand volume
The radius of the circular bed is 2 m. Around it is an area filled with sand, the border of which is formed by the sides of a square with a length of 5 m and the bed's perimeter. Calculate the volume of the area covered with sand. - Pond radius calculation
Mr. Mark wants to build a circular pond in his garden. He wishes the perimeter of the pond in meters and the area in square meters to be expressed in the same numbers. What is the radius of the pond? - Cylinders
The area of the side of two cylinders is the same rectangle of 48 cm × 38 cm. Which cylinder has a larger volume, and by how much? - On vacation
Ivan and Katka discovered on vacation a regular pyramid whose base was a square with a side of 230 m and whose height was equal to the radius of a circle with the same area as the base square. Katka labelled the vertices of the square ABCD. Ivan marked on - The mast
A 40 m high mast is secured in half by eight ropes 25 m long. The ends of the ropes are equidistant from each other. Calculate this distance. - Outside tangents
Calculate the length of the line segment S1S2 if the circles k1 (S1, 8 cm) and k2 (S2,4 cm) touch the outside. - Annulus
Two concentric circles form an annulus with a width of 10 cm. The radius of the smaller circle is 20 cm. Calculate the area of the annulus.
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