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 cm²
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 S₁ and area of circular segment S₂. 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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