Circle - practice for 13 year olds - page 16 of 29
Number of problems found: 563
- Ratio of sides
Calculate the area of a circle with the same circumference as the circumference of the rectangle inscribed with a circle with a radius of r 9 cm so that its sides are in a ratio of 2 to 7. - Circumference - bed
The perimeter of the round bed is 36 m. Find the length of the part of its circumference that belongs to the given center angles of 180° - Circular arc length
The length of the circular arc at the corresponding angle of 120 ° is 8 cm. What is the size of the whole circle? What is its radius? - Circular arc
Calculate the length of the circular arc if the diameter d = 20 cm and the angle alpha = 142 ° - Stadium area
When the runner goes around the circular stadium five times, he runs 157 km. What area does the stadium occupy? - Volcano
The volcano's crater is approximately in the shape of a cone with a base of 3.1416 square miles. The crater's depth is 1500 ft. How many cubic yards of earth would be required to fill this cavity? - Flowerbed
The park has a large circular flowerbed with a diameter of 12 m. Jacob ran around it ten times and the shorter Walt seven times. How many meters each went by, and how many meters did Jacob run more than Walt? - Circle and hexagon
Calculate the radius of a circle whose circumference is 8.7 cm longer than the inscribed regular hexagon's circumference. - 6-gon
The perimeter of a regular hexagon is 154. Calculate its circumradius (radius of a circumscribed circle). - Points on circle
In a Cartesian coordinate system with origin O, a circle k is drawn with centre O and radius r = 2 cm. Write all points on circle k whose coordinates are integers. Write all points on the circle with centre O and radius r = 5 cm whose coordinates are inte - Circle arc angle
Points A and B lie on the circle k. The circumference of the circle k is 40 CM, and the length of the circular arc AB is 10 CM. Determine the size of the angle ABS. - Park fountain percentage
In the park, with an area of 1413 m2, there is a circular fountain with a diameter of 6 m. What percentage of the park does the fountain occupy? - Base
The base of the building is a circle with a diameter of 24 m. Calculate the circumference of a circular trench whose diameter is 19 cm wider than the diameter of the base. - Sphere in cone
A sphere is inscribed in the cone (the intersection of their boundaries consists of a circle and one point). The ratio of the ball's surface and the area of the base is 4:3. A plane passing through the axis of a cone cuts the cone in an isosceles triangle - Circular Track Radius
What circular track radius must a runner run six times to run 1.8 km? - Pool Wall Above Water
The garden children's pool has the shape of a cylinder with a base diameter of 3.2 m and a depth of 60 cm. The water reaches 10 cm below the top edge. How many m² of the surface of the cylindrical wall of the pool is above the water? Rounds to the whole m - Velocity ratio
Determine the ratio at which the fluid velocity in different parts of the pipeline (one piece has a diameter of 5 cm and the other has a diameter of 3 cm) when you know that every point of the liquid is the product of the area of the tube [S] and the flui - Glass Waste Container Hole
The round hole of the glass waste container has a diameter of 18 cm. Will a four-liter glass pass through this hole? If there are 4 liters of water in the glass, it reaches a height of 20 cm. - Circle and rectangle
The circle describes a rectangle with sides of 11.7 cm and 175 mm. What is its length? Calculate the area of the circle described by this circle. - Rectangle
The rectangle is 18 cm long and 10 cm wide. Determine the diameter of the circle circumscribed by it.
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