Circle - practice for 13 year olds - page 5 of 23
Number of problems found: 453
- Circumscribed 3132
The right triangle has squares in the ratio of 5:12, and the circumscribed circle diameter is 26 cm. Determine its perimeter. - An equilateral
An equilateral triangle with a side of 10 m represents a wooden platform standing on a lawn. A goat is tied to a corner with a 15 m rope. What is the maximum amount of grazing area available to the goat? - The star
Find the area of the shaded part of the square with a side of 22 cm. - Circles
Three circles of radius 30 cm, 28 cm, and 37 cm are mutually tangent. What is the triangle perimeter whose vertices are the circles' centers?
- Circles
The area of a circle inscribed in a square is 14. What is the area of a circle circumscribed around a square? - Circumference 56291
Calculate the circumference of a circle circumscribed by a right triangle with squares 10 cm and 15 cm long. - Squaring the Circle
Find the side of the square with the same area as the circle of radius 18. - Inscribed circle
The circle inscribed in a triangle has a radius of 3 cm. Express the area of the triangle using a, b, and c. - Perimeter of circle
Calculate the circumference of a described circle to the triangle with sides 9,12,15 cm.
- Find radius
Find the radius of the circle using the Pythagorean theorem where a=9, b=r, c= 6+r - Thales
Calculate the length of the Thales' circle described to the right triangle with hypotenuse 44.2 cm. - Hands
The clock shows 12 hours. After how many minutes will the angle be between the hour and minute hand 90°? Consider the continuous movement of both hands for hours. - Clock hands
The hands-on clock shows the time of 12 hours and 2 minutes. Calculate the size of an acute angle between clock hands three hours later. - Clocks
How long will a path of the end of the clock's minute-hand long 7 cm for 330 minutes? How long will we walk at the same time hour-hand?
- Seagull
An artificially created island in the shape of a circle with a radius of 50 m is overgrown with grass. The only exception is a landing area for helicopters in the shape of a rectangle measuring 15 m and 8 m. What is the probability that the flying seagull - Coin
How many 20-cent coins must be put in a row that the next 20-cent coins after them (above) rolled on its axis? - Merry-go-round 82611
Calculate the magnitude of the angular velocity of the seat of a merry-go-round moving in uniform motion in a circle with an orbital period of 0.2 minutes. - Minute-hand
How long will a large (minute) hand travel on the clock for 48 minutes if its length is 56 cm? - Rectangular 4959
In the workshop, they cut 50 circles with a diameter of 9 cm from a rectangular sheet with dimensions of 50 cm and 100 cm. What percentage of the sheet was a waste?
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