# 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.Direction: Solve each problem carefully and show your solution in each item.

#### Number of problems found: 35

- 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. - Calculate 74794

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 - Horizontal 6161

We have a horizontal tank shaped like a rainwater cylinder, 3.45 m long and 1.7 m wide. (only up to a height of 85 cm)

- Spherical segment

The spherical segment with height h=2 has a volume of V=112. Calculate the radius of the sphere of which is cut this segment. - Ratio of squares

A circle is given in which 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? - Corresponding 59063

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. - Calculate 65354

Calculate the surface of a spherical paragraph with a height of 6 cm and a radius of 15 cm - Describe 45701

The minute hand of the alarm clock is 3.5 cm long. How long will the tip of the hand describe in 1/2 hour?

- 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 water speed is 142 cm per second? - Calculate 81034

Calculate the volume of the spherical segment and the surface area of the canopy if the radius of the sphere is r=5cm and the radius of the circular base of the segment ρ=4cm. - 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 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

- Semicircle

The ornament consists of one square and four dark semicircles. The area of the square is 4 cm². Find the area of one dark semicircle and round the result to hundreds. - Circular segment

What is the radius of a circular section whose central angle is 36° and the area of S = 53.095 cm²? - Circumferential 8399

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. - Automatic 45711

What grass area can the automatic sprayer spray if it is set to spray at an angle of 120 ° and the water sprays up to a maximum distance of 5 meters? - 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?

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