Practice problems of the circle - page 11 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
- Radius
Find the radius of the circle with area S = 200 cm². - Square and circle
Into the square is an inscribed circle with a diameter of 10 cm. What is the difference between circumference square and circle? - Circle
How big is an area of a circle if its circumference is 51.2 cm? - Described
Calculate the perimeter of the circle described by a triangle with sides 478, 255, 352. - Circumference 46181
Calculate the area of a circle that has a circumference of 314 cm. - Right triangle
A circle with a radius of 5 cm is described in a right triangle with a 6 cm leg. What is the height at the hypotenuse of this triangle? - Right-angled triangle
Determine the area of a right triangle whose side lengths form successive members of an arithmetic progression, and the radius of the circle described by the triangle is 5 cm. - EQL triangle
Calculate the inradius and circumradius of an equilateral triangle with side a=77 cm. - Perimeter of the circle
Calculate the perimeter of the circle in dm, whose radius equals the side of the square containing 0.49 dm². - CD disc
A compact disc has a diameter of 11.8 cm. What is its surface area in square centimeters? - Inscribed 44101
A circle is inscribed in the triangle with sides of 13 cm, 14 cm, and 15 cm. What is its radius? - Equilateral 5140
I have a circle with a diameter of 6.4 cm. I need to find out the length of the side of an equilateral triangle inscribed in a circle. - Circumscribed 3132
The right triangle has squares in the ratio of 5:12, and the circumscribed circle diameter is 26 cm. Determine its perimeter. - Diameter 2949
What is the diameter of a circle with an area of 35 cm square? - 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. - Circumference 61704
Calculate the area of a circle if its circumference is 21.98 dm. Express the result in square decimetres. - Surrounded 36661
Calculate the length of the circle, which is surrounded by a square with a side length of 3 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? - Circle - simple
Calculate the area of a circle in dm² if its circumference is 31.4 cm.
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