Circle - practice for 13 year olds - page 27 of 29
Number of problems found: 563
- Quadrilateral prism
The diagonal of section DBFH of the regular quadrilateral prism ABCDEFGH inscribes a circle with a diameter of 8 cm. What is the volume of the prism? - Circular segment
A circular segment has an area of 6.04 cm², the central omega angle is 15 degrees, what is the radius? - Chord
It is given to a circle k(r=6 cm), and the points A and B such that |AB| = 8 cm lie on k. Calculate the distance of the center of circle S to the midpoint C of segment AB. - Fountain sidewalk area
A 2 m wide sidewalk is built around the circular fountain. The radii of the circles that delimit the path on both sides are 4:3. What area in square meters does this sidewalk occupy? - Circle diameter
The span of the arc is 247 cm, and the height of the arc is 21.5 cm. What is the diameter of the circle? - Chord circle
The circle to the (S, r = 8 cm) are different points A, B connected segment /AB/ = 12 cm. AB mark the middle of S'. Calculate |SS'|. Make the sketch. - Clock quadrilateral angle
Calculate the magnitude of the largest inner angle and the deviation of the diagonals in the quadrilateral, whose vertices correspond to points 1, 5, 8, and 12 on the dial. - Colored area
How large is the area colored brown inside a square of side 6 cm if each of the four brown circular segments is from a circle with a radius of the length of the square's side? The length of the circular segments is equal to the length of the side of the s - Coordinates hexagon
The regular hexagon ABCDEF is given. Point A has coordinates [1; 3], and point D has coordinates [4; 7]. Calculate the sum of the coordinates of the center of its described circle. - 10 pieces
How to divide the circle into ten parts (geometrically)? - Interior angles
In a quadrilateral ABCD, whose vertices lie on some circle, the angle at vertex A is 58 degrees, and the angle at vertex B is 134 degrees. Calculate the sizes of the remaining interior angles. - Around
Around the circular flowerbed with a radius of 2 m is a sidewalk 80 cm wide. How many square meters does the sidewalk have? - Circular Sidewalk Area
A sidewalk is 70 cm wide around the circular law and has a radius of 2.3 m. How many square meters does the sidewalk have? - Quadrilateral in circle
A quadrilateral is inscribed in the circle. Its vertices divide the circle in a ratio of 1:2:3:4. Find the sizes of its interior angles. - Draw a trapezoid
Draw a trapezoid if given a = 7 cm, b = 4 cm, c = 3.5 cm, diagonal AC = 5 cm. Solve as a construction task. - Circular flowerbed
We split the circular flowerbed with a diameter 8 m by concentric circles to circles and annulus with the same area. Find the radius of the circle. - Quarter circle
What is the radius of a circle inscribed in the quarter circle with a radius of 100 cm? - Fountain
Around a circular fountain with a diameter of 2 m, there is a 0.5 m wide strip of land for planting roses. How many m² of land do the roses occupy? - MO SK/CZ Z9–I–3
John had a ball that rolled into a pool and floated on the water. Its highest point was 2 cm above the surface. The diameter of the circle where the ball met the water surface was 8 cm. Find the diameter of John's ball. - Flakes
A circle was inscribed in the square. We draw a semicircle above each side of the square as above the diameter. This resulted in four chips. Which is bigger: the area of the middle square or the area of the four chips?
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