Circular sector Problems
Number of problems found: 46
- Surface of the cone
Calculate the surface of the cone if its height is 8 cm and the volume is 301.44 cm3.
- Spherical cap
The spherical cap has a base radius of 8 cm and a height of 5 cm. Calculate the radius of a sphere of which this spherical cap is cut.
- 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?
- Volume of the cone
Calculate the volume of the cone if the content of its base is 78.5 cm2 and the content of the shell is 219.8 cm2.
- Length of the arc
What is the length of the arc of a circle k (S, r=68mm), which belongs to a central angle of 78°?
A circle was described on the square, and a semicircle above each side of the square was described. This created 4 "flakes". Which is bigger: the content of the central square or the content of four chips?
- Quarter of a circle
Calculate the circumference of a quarter circle if its content is S = 314 cm2.
- Maximum of volume
The shell of the cone is formed by winding a circular section with a radius of 1. For what central angle of a given circular section will the volume of the resulting cone be maximum?
- 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?
Circumference of the disk is 78.5 cm. What is the circumference of the circular arc of 32° on the disc?
arc length = 17 cm area of sector = 55 cm2 arc angle = ? the radius of the sector = ?
- Quarter circle
What is the radius of a circle inscribed in the quarter circle with a radius of 100 cm?
- Circle sector
Circular sector with a central angle 80 ° has area 1257 cm2. Calculate its radius r.
Mice consumed a circular hole in a slice of cheese. The cheese has the shape of a circular cut with a radius of 20 cm and an angle of 90 degrees. What percentage of the cheese ate mice if they made 20 holes with a diameter of 2 cm?
- Circular pool
The base of the pool is a circle with a radius r = 10 m, excluding a circular segment that determines the chord length 10 meters. The pool depth is h = 2m. How many hectoliters of water can fit into the pool?
- Equilateral triangle v3
Calculate the content of the colored gray part. Equilateral triangle has side length 8 cm. Arc centers are the vertices of a triangle.
- Circular sector
I have a circular sector with a length 15 cm with an unknown central angle. It is inscribed by a circle with radius 5 cm. What is the central angle alpha in the circular sector?
- Horizontal Cylindrical Segment
How much fuel is in the tank of horizontal cylindrical segment with a length 10m, width of level 1 meter and level is 0.2 meters below the upper side of the tank?
The length of the circle is 41 amd arc length of the circle 9. What is the magnitude of the angle of this arc?
- Irrigation sprinkler
The irrigation sprinkler can twist with an angle of 320° and has a reach of 12 meters. Which area can irrigate?
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