Practice problems of the circle - page 18 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
- Circle
From the equation of a circle: -x² -y² +16x -4y -59 = 0 Calculate the coordinates of the center of the circle S[x0, y0] and the radius of the circle r. - Curved surface area CSA
A cylinder 5cm high has a base radius(7/2) cm. Calculate the curved surface area. - Common cylinder
I've quite a common example of a rotary cylinder. Known: S1 = 1 m2, r = 0.1 m Calculate : v =? V =? Can you verify the results? - Cylinder
Calculate the dimensions of rotating cylindrical containers with volume 2 l if the container's height equals the base's diameter.
- Hectares 5323
At a speed of 4 km/h, we go around the lake, which has the shape of a circle, in 36 minutes. What is the area of the lake? Please result express in hectares. - Must-have 7893
If we want to make a prism with a wooden base with a 5 cm side of a wooden bar, what is the bar's smallest diameter? - Surface and volume
Calculate the surface and volume of a cylinder whose height is 8 dm and the radius of the base circle is 2 dm. - Steering 49363
The steering wheel has a diameter of 40 cm. It is acted upon by a pair of forces with a torque of 27 Newton-meters. How much force does it exert on each side of the steering wheel? - Five-year-old 39051
Five-year-old Patrik got a tractor. The smaller wheel of the tractor has a circumference of 18 cm, and the giant wheel of the tractor has a circumference of 7 cm larger. Calculate how many times the larger tractor wheel turns on a 10 m track.
- Circumference 5331
The largest linden in Bohemia is the Vejdová lime tree in the Orlické Mountains, with a circumference of 14 meters and 140 centimeters. What trunk circumference does this linden tree have in decimetres? - Company logo
The company logo consists of a blue circle with a radius of 4 cm and an inscribed white square. What is the area of the blue part of the logo? - Cylindrical 24211
The cylindrical container contains 62.8 liters of water and is completely filled. The height of the container is half a meter. Calculate the bottom diameter. - Approximate 3145
The surface of the cylinder with a base diameter of 20 cm and a height of 0.3 m is approximate. - Right triangle
Draw a right triangle ABC if |AB| = 5 cm |BC| = 3 cm, |AC| = 4 cm. Draw Thales circle above the hypotenuse of the triangle ABC.
- Circumscribing
Find the radius of the circumscribed circle to the right triangle with legs 6 cm and 3 cm. - Described
Calculate the perimeter of the circle described by a triangle with sides 191, 428, 385. - Center
Calculate the coordinates of the circle center: x² -4x + y² +10y +25 = 0 - Radius 25211
The wheel has a radius of 31 cm. How many times does it turn if we ride 1,168 km? - Tree shadow 3
What is the diameter of a tree wrapped in a rope around 3m 9dm 7cm long? How big is its cross-sectional area?
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