Area of Circular sector Problems - page 2 of 3
Number of problems found: 42
- Circular arc
Calculate the center angle and length of the circular arc if the radius r = 21 cm and the area of the slice is 328.5 cm² - 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. - Field with vegetables
The field planted with vegetables has a rectangular isosceles triangle with a leg length of 24 m. At the triangle's vertices are rotating sprinklers with a range of 12 m. How much of the field sprinkler isn't irrigated? - Circle arc segment
A circle with a radius r=8 cm is divided by points K and L in a ratio of 5 to 4. Calculate the sizes of the center and circumferential angles, corresponding to both arcs and the area of the larger segment. - Mice
Mice consumed a circular hole in a slice of cheese. The cheese is a circular cut with a radius of 20 cm and an angle of 90 degrees. What percentage of the cheese ate mice if they made 20 holes with a diameter of 2 cm? - Circular grass seed
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? - Circular dragon The dragon has the shape of a circular section with a central angle of 40° and a radius of 35 cm. How much paper do we need to make if 10% is added to the curved ones?
- Park
Rotating sprayer irrigation lawns will permanently surround the newly built park. Find the largest radius of the circle that can be irrigated by sprayer P, not to spray park visitors online AB. Distance AB = 55 m, AP = 36 m and BP = 28 m. - Goat
The fenced flower bed has the shape of a regular hexagon. The tops are formed by fence posts. The fence around the flowerbed measures 60 m. A goat is tied to one of the pillars from the outside and grazes on the surrounding meadow (the goat should not ent - 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 - Lunes of Hippocrates
Calculate the sum of the area of the so-called Hippocratic lunas, which were cut above the legs of a right triangle (a = 6cm, b = 8cm). Instructions: First, calculate the area of the semicircles above all sides of the ABC triangle. Compare the sum of the - Circle arc
The circle segment has a circumference of 9.08 km and 58.99 km² area. Calculate the radius of the circle and the size of the central angle. - Circular segment
Calculate the area S of the circular segment and the length of the circular arc l. The height of the circular segment is 2 cm, and the angle α = 60°. Help formula: S = 1/2 r². (Β-sinβ) - Circular pool
The pool's base is a circle with a radius r = 10 m, excluding a circular segment that determines the chord length of 10 meters. The pool depth is h = 2m. How many hectoliters of water can fit into the pool? - Cylinder horizontally
The cylinder with a diameter of 3 m and a height/length of 15 m is laid horizontally. Water is poured into it, reaching a height of 60 cm below the cylinder's axis. How many hectoliters of water is in the cylinder? - Cone A2V
The cone's surface in the plane is a circular arc with a central angle of 126° and an area of 415 cm². Calculate the volume of a cone. - Spherical sector
The spherical sector has axial section has an angle of α = 120° in the center of the sphere, is part of a sphere with a radius r = 10 cm. Calculate the surface of this spherical sector. - Volume of the cone
Calculate the cone's volume if its base area is 78.5 cm² and the shell area is 219.8 cm². - Maximum of volume The shell of the cone is formed by winding a circular section with a radius of 1. For what central angle of a given circular section will the volume of the resulting cone be maximum?
- Surface of the cone
Calculate the cone's surface if its height is 8 cm and the volume is 301.44 cm³.
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