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
- 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. - 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. - 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 700kg/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 math - 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? - 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? - On the circular 3
On the circular cap 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 with a diameter of 3 millimeters. Determine the ratio of - Calculate sphere cap
Calculate the surface of a spherical cap with a height of 6 cm and a radius of 15 cm - 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? - 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. - 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. - 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? - Tunnel boring
How much material did they dig when cutting the 400m long tunnel? The area of the circular segment, which is the cross-section of the tunnel, is 62m². - Three segments
The circle is divided into three segments. Segment A occupies 1/4 of the area. Segment B occupies 1/3 of the area. What part is occupied by section C? In what proportion are areas A: B: C? - Circular segment
A circular segment has an area of 6.04 cm², the central omega angle is 15 degrees, what is the radius? - 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 - 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? - Circular segment
What is the radius of a circular section whose central angle is 36° and the area of S = 53.095 cm²?
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