Circle + sine - practice problems - page 2 of 3
Number of problems found: 44
- Regular n-gon
Which regular polygon has a radius of circumscribed circle r = 10 cm and the radius of inscribed circle p = 9.962 cm? - Diagonals of pentagon
Calculate the diagonal length of the regular pentagon: a) inscribed in a circle of radius 12dm; b) a circumscribed circle with a radius of 12dm. - Hexagon 5
The distance of parallel sides of regular hexagonal is 61 cm. Calculate the length of the radius of the circle described in this hexagon. - Hexagon A
Calculate the area of a regular hexagon inscribed in a circle with radius r=9 cm. - Inscribed and described circle
Find the radii of a circle inscribed and circumscribed by a regular pentagon whose side measures 3 cm. - Nine-gon
Calculate the perimeter of a regular nonagon (9-gon) inscribed in a circle with a radius 13 cm. - n-gon
What is the side length of the regular 5-gon inscribed in a circle of radius 12 cm? - Two chords
From the point on the circle with a diameter of 8 cm, two identical chords are led, which form an angle of 60°. Calculate the length of these chords. - Pentagonal prism
The regular pentagonal prism is 10 cm high. The radius of the circle of the described base is 8 cm. Calculate the volume and surface area of the prism. - Two forces
The two forces, F1 = 580N and F2 = 630N have an angle of 59 degrees. Calculate their resultant force, F. - Moon
We see Moon in the perspective angle 28'. Moon's radius is 1740 km at the time of the full Moon. Calculate the mean distance of the Moon from the Earth. - Goat and circles
What is the radius of a circle centered on the other circle, and is the intersection of the two circles equal to half the area of the first circle? This task is the mathematical expression of the role of agriculture. The farmer has circular land on which - Seats on carousel
There are 12 seats evenly distributed on the children's carousel in the shape of a circle. How long is the arm of the carousel (connecting the center of the carousel to the seat) if the distance between the two seats is 1.5m? - Equilateral triangle
How long should the minimum radius of the circular plate be cut into an equilateral triangle with side 21 cm from it? - Decagon
Calculate the area and circumference of the regular decagon when its radius of a circle circumscribing is R = 1m - The cone
The cone's lateral surface area is 4 cm², and the area of the base is 2 cm². Find the angle in degrees (deviation) of the cone sine and the cone base plane. (Cone side is the segment joining the vertex cone with any point of the base circle. All sides of - Subtended 83194
A circle k with a center at point S and a radius of 6 cm is given. Calculate the size of the central angle subtended by a chord 10 cm long. - Length of the chord
Calculate the length of the chord in a circle with a radius of 25 cm with a central angle of 26°. - Archaeologists 81478
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? - Arc and segment
Calculate the length of circular arc l, area of the circular arc S1 and area of circular segment S2. The circle's radius is 11, and the corresponding angle is (2)/(12) π.
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