Circle practice problems - page 42 of 51
Number of problems found: 1002
- Circle chord distance
The figure shows the circles k₁(S₁; r1=9 cm) and k₂(S2; r2 = 5 cm). Their intersections determine a common chord t 8 cm long. Calculate the center distance |S₁ S₂| in cm to two decimal places. - Hexagon Area from Radius
Calculate the area of a regular hexagon if the radius of the circle circumscribed is 6.8 cm. - Circle
The circle is given by the center on S[-7; 10], and the maximum chord is 13 long. How many intersections have a circle with the coordinate axes? - Circle
A circle k has diameter |MN| = 85. Point J lies on circle k. If |NJ| = 12, calculate the length of segment JM. - Steel tube
The steel tube has an inner diameter of 4 cm and an outer diameter of 4.8 cm. The density of the steel is 7800 kg/m³. Calculate its length if it weighs 15 kg. - Hexagon dragon area The dragon has the shape of a regular hexagon inscribed in a circle with a radius of 20 cm. What is the area of the dragon?
- On the circular 3
On the circular lid of a salt shaker with a diameter of 4.5 cm, there are two types of holes. On the left is a semicircular hole with a diameter of 2.4 cm; on the right are five small circular holes each with a diameter of 3 mm. Determine the ratio of the - Circular segment
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. - Trough
How many liters of water per second can go via trough, which has a cross-section of a semicircle with a radius of 0.5 m and a water speed of 142 cm per second? - Tiles Area Circular Arches
Calculate the volume of the area covered with three rows of 7 tiles. One tile is 30 cm wide and 45 cm high and ends with circular arches at two ends. Enter the result in m². - Two parallel chords
In a circle 70 cm in diameter, two parallel chords are drawn so that the circle's center lies between the chords. Calculate the distance of these chords if one is 42 cm long and the second is 56 cm long. - Lake 2
Three brothers were at a cottage on the shore of a circular lake. Every morning Andrej ran around the lake. Simultaneously with him, Braňo jumped into the water in front of the cottage and swam so that he was always midway between the running Andrej and t - Construct rhombus - MO
Construct the diamond ABCD so that its diagonal BD is 8 cm and the distance of apex B from the line AD is 5 cm. Specify all possibilities. How long is a side of a rhombus? - Volume of cone
Find the volume of a right circular cone-shaped building with a height of 9 m and a radius base of 7 m. - Length of the chord
Calculate the length of the chord in a circle with a radius of 25 cm and a central angle of 26°. - Alarm hand distance
The minute hand of the alarm clock is 3.5 cm long. How long will the tip of the hand be described in 1/2 hour? - Complex plane mapping
Show that the mapping w = z +c/z, where z = x+iy, w = u+iv, and c is a real number, maps the circle |z| = 1 in the z-plane into an ellipse in the (u, v) plane. - Office
The office building was built in the shape of a regular hexagon inscribed in a circle with a radius of 12 m. The height of the walls is 7 m. How much does CZK cost to plaster the building walls per 1 m square cost CZK 400? - The chord
A chord passing through its center is the side of the triangle inscribed in a circle. What size are a triangle's internal angles if one is 40°? - Triangle construction sides
Construct a right triangle ABC with the hypotenuse AB: a) | AB | = 72 mm, | BC | = 51 mm b) | AB | = 58 mm, | AC | = 42 mm
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