# Practice problems of the circular segment

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.#### Number of problems found: 25

- Horizontal 6161

We have a horizontal tank in the shape of 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 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 side of the square and the arc of the circle. 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. - 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? - Calculate 65354

Calculate the surface of a spherical paragraph with a height of 6 cm and a radius of 15 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 cm^{2} - Three segments

The circle is divided into 3 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? - 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. - 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? - 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? - Automatic 45711

What area of grass 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? - Arc and segment

Calculate the length of circular arc l, area of the circular arc S_{1}and area of circular segment S_{2}. Radius of the circle is 11 and corresponding angle is (2)/(12) π. - Circle segment

A quarter circle with radius 4 has the same area as a circle segment with radius 3. What is the magnitude of the center angle of the circle segment? - Convex angle

There is a circle k (S; r) and a point A, which lies on this circle. There is also a point B on the circumference, for which it is true that in one direction it is five times further from the point A than in the opposite direction (around the circumferenc - Horizontal Cylindrical Segment

How much fuel is in the horizontal cylindrical segment tank with a length of 10m, the width of level 1 meter, and the level is 0.2 meters below the tank's upper side? - A spherical segment

The aspherical section, whose axial section has an angle of j = 120° in the center of the sphere, is part of a sphere with a radius r = 10 cm. Calculate the cut surface. - Sphere parts, segment

A sphere with a diameter of 20.6 cm, the cut is a circle with a diameter of 16.2 cm. .What are the volume of the segment and the surface of the segment? - Circle arc

The circle segment has a circumference of 135.26 dm and 2096.58 dm² area. Calculate the radius of the circle and the size of the central angle.

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