Practice problems of the circle - page 17 of 48
A circle is a geometric shape that consists of all points that are a fixed distance, called the radius, away from a central point called the center. The distance around the circle is called the circumference and the region enclosed by the circle is called the area of the circle. The formula for the circumference of a circle is C = 2πr, where C is the circumference, r is the radius, and π is a mathematical constant, the Ludolph number, approximately equal to 3.1415926.The formula for the area of a circle is A = πr2, where A is the area and r is the radius.
The diameter of a circle is a line segment that passes through the center of the circle and has its endpoints on the circle. It is the longest distance across the circle and is also twice the length of the radius. The formula for the diameter of a circle is d = 2 * r, where d is the diameter and r is the radius. The diameter of a circle is an important measurement in geometry and is used in many mathematical formulas, such as the formula for the circumference of a circle (C = πd)
Number of problems found: 941
- Cross-section 4343
Premium quality olive oil is sold in a glass bottle with a square cross-section packed in a special cylinder tube. The square's perimeter that forms the bottle's cross-section is 28 cm. What is the radius of this tube? - Traveling 5808
The diameter of the wheel is 56cm. How often does it turn in 5 minutes if traveling at 60km / h? - Circle and square
An ABCD square with a side length of 100 mm is given. Calculate the circle’s radius that passes through vertices B, C, and the center of the side AD. - Cylinder - h
The cylinder volume is 140 cm³. The base radius is 7 cm. Calculate the height of the cylinder.
- Two circles
Two circles with the same radius, r = 1, are given. The center of the second circle lies on the circumference of the first. What is the area of a square inscribed in the intersection of given circles? - Concrete pipe
The concrete pipe is cylindrical with an inner diameter of 60 cm and an outer 67 cm. Calculate the surface of the concrete pipe if it is 10 m long. - Closed drum
Find the total surface area of a closed cylindrical drum if its diameter is 50 cm and height is 45 cm. (π= 3.14) - Construction 4574
There are a 1.5 m wide trail around the lake. Dad missed 2,550 cubic meters of concrete on its construction. How much is paid for concrete if one cubic meter costs 52 €? - A bug
A bug was sitting on the tip of a wind turbine blade that was 24 inches long when it started to rotate. The bug held on for five rotations before flying away. How far did the bug travel before it flew off? Exact answer.
- Calculate 8252
Calculate in cm² the area of a circle whose diameter is equal to the length of the diagonal of a square ABCD with a side of 4cm. - Calculate 64734
We cut a sphere with a diameter of 10 dm into two equal parts. Calculate the area of the cut. - Circumference 61944
Calculate the volume and surface of the planet Venus if its circumference is 12,000 km. - Cylinder and its circumference
The height of a cylinder is four times its circumference, c. What is the volume of the cylinder in terms of its circumference c? - Truncated cone
A truncated cone has bases with radiuses 40 cm and 10 cm and a height of 25 cm. Calculate its surface area and volume.
- Cylinder surface, volume
The area of the base and the area of the shell are in the ratio of 3:5. Its height is 5 cm less than the radius of the base. Calculate both surface area and volume. - Diameter 16803
The large wheel of the tractor has a diameter of 1.20 m. The small wheel has a radius of 35 cm. How many turns will a small bike make on a 5 km long track? - Circumference 7209
The speed of the points lying on the circumference of the rotating disk is 6 m/s. The speed of the points, which lie 20 cm closer to the axis of rotation, is 4 m/s. Find the angular velocity of the wheel. - Diameter 4078
What is the diameter of the wheel when it turns 455 times per 1 km? They rounded to the nearest cm. - Surrounded 13601
The letter H is part of a square surrounded by a circle with a diameter of 42 cm. Is a fabric 1 meter long enough to make this letter? Neglect the thickness of the fabric.
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