Circle - practice for 13 year olds - page 15 of 29
Number of problems found: 563
- Hemispherical dome
What is the coverage area of the painting of a hemispherical dome with a diameter of 8 m? - Flowerbed
We enlarged the circular flower bed, increasing its radius by 3 m. The substrate consumption per enlarged flower bed was nine times greater than before (at the same layer height as before magnification). Determine the original flowerbed radius. - Railway arc length
On the tourist map with a scale of 1:50000, the section of the railway line between Bobrová Lhota and Javořiště is replaced by an arc of a circle with a radius of 6 cm. The arc is 90°. Determine the actual length of the track between the two villages. - Clocks
What distance will describe the tip of a minute hand 6 cm long for 20 minutes when we know the starting position with finally enclosed hands at each other at 120°? - Metal washers
Metal washers with a diameter of 80 mm are cut from a strip of steel sheet with a width of 10 cm and a length of 2 m. When two adjacent circles meet, calculate the material waste percentage if no material is lost. - Target probability
Viktor shot darts into a circular target with a radius of 5 cm. Inside the circle is a smaller circle with a radius of 2 cm. Calculate Viktor's chance of hitting a smaller circle in percent. - The big clock
The hands of a clock stop at a random moment. What is the probability that: a) the hour hand shows a time between 1:00 and 3:00? b) the minute hand is in the same region as the hour hand as described in part a)? c) the clock shows a time between 21:00 and - If we want
A children's pool has the shape of a cylinder with a base diameter of 4 m and a depth of 50 cm. a) Calculate the volume of water in litres that the pool can hold when filled to the brim. b) If we fill the pool to only 75% of its capacity, how many litres - Described circle to rectangle
The rectangle with 6 cm and 4 cm sides was a circumscribed circle. What part of the circle area determined by the circumscribed circle occupies a rectangle? Express in perctentages(%). - Hand weekly track
The minute hand is 30 cm long. The hour hand is half as short as the minute hand. How big a track describes its endpoint in a week. - Cup Diameter Ball Displacement
The mug has the shape of a cylinder with a height of 60.7 mm. There is two dl of water in it. If we dip a ball with a diameter of 40 cm into the water, the water will not overflow. What is the minimum diameter of the cup? - Circular base
Find the radius of the circular base of the vessel, whose perimeter is 2.51 m. Write the result to one decimal place in meters. Via the π sign - Ludolph's number - Circle rectangle fit
Find out if a circle with an area of 38.5 cm² fits into a rectangle with dimensions of 110 mm and 65 mm. - The rectangle 5
The rectangle OABC has one vertex at O, the center of a circle, and a second vertex, A, 2 cm from the edge of the circle, as shown. The vertex A is also 7 cm from C. The points B and C lie on the circumference of the circle. a. What is the radius? b. Find - Circular track
The circular running track has a radius of 50 m. How many laps does a runner have to do to run 5 km? - Saw
Blade circular saw with a diameter 42 cm turns 825 times per minute. Express its cutting speed in meters per minute. - Rectangle and circle
The rectangle ABCD has side lengths a = 40 mm and b = 30 mm and is circumscribed by a circle k. Calculate approximately how many centimeters a circle is long. - Ace
The length of segment AB is 24 cm, and the points M and N are divided into thirds. Calculate the circumference and area of this shape. - Perimeter 59
The circumference of a circular bed is 36 m. Find the length of the arc corresponding to the following central angles: 90°, 45°30′, 120°, 15°. - The iron roller
The iron roller has a base circumference of 28 π cm. The worker drilled a hole through the top of the roller. After drilling, the given product had a 35% smaller volume than before. The hole's circumference in the base is equal to the height of the roller
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