Practice problems of the circle - page 24 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
- The Earth
The Earth's surface is 510,000,000 km². Calculates the radius, equator length, and volume of the Earth, assuming the Earth has the shape of a sphere. - Rotary cone
A rotary cone whose height is equal to the circumference of the base has a volume 229 cm³. Calculate the radius of the base circle and the height of the cone. - Tablecloth 6336
For a round table with a diameter of 75 cm, you need to sew a tablecloth that should extend 10 cm around the table. A 1.5 cm slat is added to the border. How many square meters of lath do we need for this table? - Diameter 30921
The road roller has a diameter of 1.2 m and a width of 1.8 m. How many square meters will the road level if it turns 20 times? - Roller
Roller has a diameter of 1.61 m and a width of 236 cm. How many m² of road level when he turns 40-times? - Cylinder's 83288
Calculate the radius of the cylinder's base if its volume is equal to 12.56 cm². - Calculate 65804
Calculate the surface and volume of a rotating cone, the base of which has a diameter of 6 cm and its height of 4 cm. - One-quarter 46001
Express in square centimeters the surface of a sphere whose radius is equal to one-quarter of the radius of the cone. The diameter of the base of the cone is 20 cm. - Circles
How many different circles are determined by 11 points at the plane if 7 of them lie in a straight line? - Regular octagon pad
You need to make a pad in the shape of a regular octagon with a side length of 4 cm. What is the minimum diameter of the circle-shaped semi-finished product from which we make the pad, and what will be the percentage of waste? (Round the results to 1 deci - Circle's chords
The circle has two chord lengths, 30 and 34 cm. The shorter one is from the center twice as a longer chord. Determine the radius of the circle. - A circle 2
A circle is centered at the point (-7, -1) and passes through the point (8, 7). The radius of the circle is r units. The point (-15, y) lies in this circle. What are r and y (or y1, y2)? - Find parameters
Find parameters of the circle in the plane - coordinates of center and radius: x²+(y-3)²=14 - The Indian tent
The Indian tent is cone-shaped. Its height is 3.5 m. The diameter of the base is 2.5 m. How much canvas is needed to make a tire? - The cone
The cone has a base radius of 12 cm and a height of 20 cm. It was truncated at 6 cm from the base. We created a truncated cone - frustum. Find the radius of the base of the truncated cone. - Slant height
The cone's slant height is 5cm, and the radius of its base is 3cm, so find the cone's volume. - A bridge
The bridge over the river has the shape of an arc. The bridge is 10 feet above the water at the center of the river. At 27 feet from the river's edge, the bridge is 9 feet above the water. How wide is the river? - Resulting 4446
A square with a side length of 3 cm rotates around its diagonal. Calculate the volume and surface area of the resulting body. - Rotary cylinder
The rotating cylinder has a surface area of 69.08 cm². The area of the shell is 62.8 cm ². What is the diameter of the cylinder? - Rectangle 60783
How to build a rectangle using only circles
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