Circular segment practice problems
a circular segment is a region of a circle which is "cut off" from the rest of the circle by a secant or a chord.Remember: Solve each problem thoughtfully and make sure to show your complete solution for every question.
Number of problems found: 37
- Two wipers
What A car has two wipers which do not overlap. Each wiper has a blade of length 21 cm, sweeping through an angle of 120°. Find the total area cleaned at each sweep of the blades. - The minute
The minute hand of a clock is 6 cm long. Find the area it sweeps between 2:05 PM and 2:40 PM. - A goat 2
As shown, a goat is tied at one corner of a rectangular shed by a 5-meter-long rope. The shed measures 3 m by 2 m and is surrounded by grassland. What is the area of the grassland in which the goat can graze? Give your answer to the nearest m². - Wood floats
A wooden cylinder with a diameter of 20 cm and a length of 1 m is immersed in water. The specific weight of wood is 700 kg/m³. For example, calculate the height of the wood that is above the water. The role was assigned to me as a high school freshman mat - On the circular 3
On the circular lid of a salt shaker with a diameter of 4.5 cm, there are two types of holes. On the left is a semicircular hole with a diameter of 2.4 cm; on the right are five small circular holes each with a diameter of 3 mm. Determine the ratio of the - Circular segment
Calculate the radius and area of the circular segment if the center angle = 106° and the length of the corresponding circular arc is l = 52 cm. - Trough
How many liters of water per second can go via trough, which has a cross-section of a semicircle with a radius of 0.5 m and a water speed of 142 cm per second? - Alarm hand distance
The minute hand of the alarm clock is 3.5 cm long. How long will the tip of the hand be described in 1/2 hour? - Lake 2
Three brothers were at a cottage on the shore of a circular lake. Every morning Andrej ran around the lake. Simultaneously with him, Braňo jumped into the water in front of the cottage and swam so that he was always midway between the running Andrej and t - Spherical segment
The spherical segment with height h=2 has a volume of V=225. Calculate the radius of the sphere which is cut in this segment. - Ratio of squares
A circle is given, and a square is inscribed. The smaller square is inscribed in a circular arc formed by the square's side and the circle's arc. What is the ratio of the areas of the large and small squares? - Calculate sphere cap
Calculate the surface of a spherical cap with a height of 6 cm and a radius of 15 cm - Archaeologists
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? - Circular segment
A circular segment has an area of 6.04 cm², the central omega angle is 15 degrees, what is the radius? - Horizontal watertank
We have a horizontal tank shaped like a rainwater cylinder, 3.45 m long and 1.7 m wide. Calculate how many liters of water is in first centimeters. - Spherical segment
Calculate the volume of the spherical segment and the surface area of the canopy if the radius of the sphere is r = 5 cm and the radius of the circular base of the segment ρ = 4 cm. - 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 - Circular segment
What is the radius of a circular section whose central angle is 36° and the area of S = 53.095 cm²? - A cell tower
A cell tower is located at coordinates (-5, -7) and has a circular range of 12 units. If Mr. XYZ is located at coordinates (4,5), will he be able to get a signal? - 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.
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