Circle practice problems - page 37 of 51
Number of problems found: 1002
- Coat of arms
The class created its coat of arms, which had a shape composed of an isosceles trapezoid ABCD (shorter base is a = 4.5 cm long, longer 2a = 9 cm, trapezoid height 6 cm) and a semicircle with center S and diameter AB. Three identical isosceles triangles fo - Diagonals of pentagon
Calculate the diagonal length of the regular pentagon: a) inscribed in a circle of radius 12 dm; b) a circumscribed circle with a radius of 12 dm. - N-gon II
What is the side length of the regular 9-gon circumscribed circle of radius 13 cm? - Mrak - cloud
It is given segment AB, which is 12 cm in length, on which one side of the square MRAK is laid. MRAK's side length is 2 cm shown. MRAK gradually flips along the line segment AB, and point R leaves a paper trail. Draw the whole track of point R until the s - Cylinder and Cuboid Volume
A block with a square base is inserted into a 10-centimeter-high cylinder in such a way that its base is inscribed in the base of the cylinder. The edge of the base of the block measures 4 cm. Both bodies have the same height. Calculate the difference bet - Inscribed and described circle
Find the radii of a circle inscribed and circumscribed by a regular pentagon whose side measures 3 cm. - Five-gon
Calculate the side a, the circumference, and the area of the regular 5-angle if Rop = 6 cm. - Rhombus construction sides
Construct a rhombus that has a side length of 5 cm and a height of 4.5 cm. Outline: Analysis: Construction: Method: - Distance Between Circle Centers
Two circles with straight radii of 58 mm intersect at two points. Their common string is 80 mm long. What is the distance of the centers of these circles? - Annulus
Calculate the area of two circles annulus k1 (S, 3 cm) and k2 (S, 5 cm). - The cap
A jester's hat is in the shape of a cone. Calculate how much paper is needed to make a hat 53 cm tall for a head circumference of 45 cm. - Dodecagon
Find the area of a regular dodecagon (n=12) if the radius of the circumscribed circle is 5 cm. - Posters
A column with posters in the form of a cylinder is 2 m high, and its diameter is 1.7 m. What is the area in which it is possible to stick posters? - Triangular prism
The curved part of the rotating cylinder is four times larger than the area of its base. Determine the volume of the regular triangular prism inscribed in the cylinder. The radius of the bottom of the cylinder is 10 cm. - Calculate cylinder
A cylinder has a volume V = 120 cm³ and a height v = 4 cm. Calculate the radius and the lateral surface area S. - Angle of deviation
The surface of the rotating cone is 30 cm² (with a circle base), and its surface area is 20 cm². Calculate the deviation of this cone's side from the base's plane. - Suppose
Suppose you know that the length of a line segment is 15, x2=6, y2=14, and x1= -3. Find the possible value of y1. Is there more than one possible answer? Why or why not? - Roof material
How many square meters of roofing is needed to cover the cone-shaped roof if the perimeter of its base is 15.7 m and a height of 30 dm - Elevation
What must be an observer's elevation so that he may see an object on the Earth 866 km away? Assume the Earth to be a smooth sphere with a radius 6378.1 km. - Horizon
The top of a lighthouse is 18 m above the sea. How far away is an object just "on the horizon"? [Assume the Earth is a sphere of radius 6378.1 km.]
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