Circle - practice for 14 year olds - page 14 of 20
Number of problems found: 388
- Tangent 3
In a circle with a center O radius is 4√5 cm. EC is the tangent to the circle at point D. Segment AB is a given circle's DIAMETER. POINT A is joined with POINT E, and POINT B is joined with POINT C. Find DC if BC IS 8cm. - The mast
A 40 m high mast is secured in half by eight ropes 25 m long. The ends of the ropes are equidistant from each other. Calculate this distance. - Circle
The circle is given by center on S[-7; 10] and maximum chord 13 long. How many intersect points have a circle with the coordinate axes? - 9-gon pyramid
Calculate a nine-sided pyramid's volume and surface, the base of which can be inscribed with a circle with radius ρ = 7.2 cm and whose side edge s = 10.9 cm.
- Common chord
The common chord of the two circles, c1 and c2, is 3.8 cm long. This chord forms an angle of 47° with the radius r1 in the circle c1. An angle of 24° 30' with the radius r2 is formed in the circle c2. Calculate both radii and the distance between the two - Concentric circles and chord
In a circle with a diameter d = 10 cm, a chord with a length of 6 cm is constructed. What radius has the concentric circle while touching this chord? - Chord
In a circle with a radius r=60 cm is the chord, 4× longer than its distance from the center. What is the length of the chord? - Nine-sided 36071
Calculate the surface area and volume of a regular nine-sided pyramid if the radius of the circle inscribed in the base measures ρ = 12 cm and the height of the pyramid is 24 cm - Determine 6415
Determine the distance of two parallel chords of lengths of 7 cm and 11 cm in a circle with a radius of 7 cm.
- Circumscribed 22713
Calculate the circumference and the area of a regular ten-angle polygon if the radius of the circumscribed circle r = 20 cm. - 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? - Round flowerbed
Around a round flowerbed with a diameter of 6 meters, I will make a sidewalk up to 0.5 meters wide. How much gravel is needed if the layer is 5 cm high? - Circle chord
Calculate the length of the chord of the circle with radius r = 10 cm, the length of which is equal to the distance from the circle's center. - Calculate 65014
The radius of the circle is 5.5 cm. The height is 2.3 cm, which is the chord's distance. How can we calculate the length of the string?
- 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. - Half-cylinder 25121
How much sheet metal do we use to produce a gutter pipe in the shape of a hollow half-cylinder 20 m long and 16 cm wide if we count 8% for bending and welding? - 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. - Circumference 30781
How many square decimeters of decorative paper are needed to make cone-shaped carnival hats for 46 first-graders if the first-graders head circumference is 49 cm and the cap height is 33 cm? Is it necessary to add 3% paper to the folds?
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