Practice problems of the area of a circle - page 10 of 17
Number of problems found: 339
- Difference 80618
A regular hexagon is described and inscribed in a circle. The difference between its areas is 8√3. Find the circle's radius. - Cylindrical 30331
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%. - Isosceles 7566
A right isosceles triangle is inscribed in the circle with r = 8 cm. Find triangle area S. How much percent does the triangle occupy the area of the circle? - Rectangle
In a rectangle with sides, 8 and 9 mark the diagonal. What is the probability that a randomly selected point within the rectangle is closer to the diagonal than any side of the rectangle?
- Perimeter 81600
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. - Perimeter 31761
Mr. Marek 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? - Diameter 3545
A 2.4 m wide path will be paved around a circular lake with a diameter of 8.2 m. How much will the paving cost when 1m square costs 350 kc? - Pipe cross section
The pipe has an outside diameter of 1100 mm, and the pipe wall is 100 mm thick. Calculate the cross-section of this pipe. - Vintner
How high can a vintner fill keg with crushed red grapes if these grapes occupy a volume of 20 percent? The keg is cylindrical with a diameter of the base of 1 m and a volume of 9.42 hl. Start from the premise that says that fermentation will fill the keg
- Axial section
The axial section of the cylinder has a diagonal 40 cm. The shell size and base surface are in the ratio 3:2. Calculate the volume and surface area of this cylinder. - Annulus
Two concentric circles form an annulus of a width of 10 cm. The radius of the smaller circle is 20 cm. Calculate the area of the annulus. - Coat of arms
The class created its coat of arms, which had a shape composed of an isosceles trapezoid ABCD (shorter base is a = 4.5 cm long, longer 2a = 9 cm, trapezoid height 6 cm) and a semicircle with center S and diameter AB. Three identical isosceles triangles fo - Circular 36163
The circular park has an area of 31400 m². A trail runs across the center of the park. How long is it? - Block-shaped 5630
How many hours will a block-shaped pool measuring 24 m, 12 m, and 1.8 m be filled if it flows through a 9 cm diameter pipe at a speed of 2.5 m/s?
- Dimensions 82414
The flag of Brazil has a yellow diamond on a green field with a blue circle inside. If we had a flag with dimensions of 70 cm x 50 cm, the rhombus would have a side 35 cm long and a height of 30 cm. Indicate with fractions in basic form what part of the f - Coordinate 82855
What is the ratio of the distance of the nearest and farthest point of the circle described by the equation x2+y2-16x-12y+75=0 from the origin of the coordinate system? - Inscribed 43991
An irregular convex octagon is inscribed in the circle. Its four adjacent sides have a length of 3, and the remaining four adjacent sides have a size of 2. What is the area of a given octagon? - Posters
A column with posters in the form of a cylinder is 2 m high, and its diameter is 1.7 m. What is the area in which it is possible to stick posters? - Circumscribed 2671
The circle's radius circumscribed by the rectangle is 5 cm, and one side of the rectangle is 6 cm long. Calculate the length of the other side and the area of the rectangle.
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