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Learn about circles, a 2-dimensional closed shape with a curved side and a center. Find out the formulas for area, circumference, arc length, and other circle properties, and see examples and practice problems.
Learn what a circle is, how to draw it, and how to calculate its area and circumference. Explore the parts, properties, and formulas of circles with video lessons and examples.
- A circle is a closed two-dimensional curve shaped figure, where all the points on the surface of the circle are equidistant from the centre point.
- The different parts of a circle are radius, diameter, chord, tangent, arc, centre, secant, sector.
- If “r” is the radius of the circle, then the formula for the area and the circumference of a circle are: Circumference of a Circle = 2πr units Ar...
- The radius of a circle is the line segment that connects the centre point and the circle surface. The diameter is considered as the longest chord o...
- The chord of a circle is defined as the straight line segment whose both endpoints touch the surface of a circle. The longest chord of a circle is...
A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre. The distance between any point of the circle and the centre is called the radius. The circle has been known since before the beginning of recorded history. Natural circles are common, such as the full moon or a slice of round fruit.
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- Circles - Radius and Diameter. In order to describe the shape of an object, we give the object appropriate dimensions. For example, a rectangle can be described with its height and width.
- Circles - Circumference. The formula for the circumference of a circle is. \[\pi d = 2 \pi r,\] where \(d=\text{(diameter of the circle)},\) \(r=\text{(radius of the circle)},\) and \(\pi\) is the mathematical constant, "pi."
- Area of a Circle. The area of a circle with radius \(r\) is \(\pi r^2\). \ (_\square\) This is proven by dividing a circle into even parts. and then rearranging them into a crooked parallelogram.
- Circles - Arc Length. Arc length of a circle is the length of the curved part. Arc length of a full circle is its circumference, but what about the arc length of sectors (pieces of circles)?
Learn about the basics, properties, and equations of circles in geometry. Explore arc length, radians, inscribed angles, tangents, sectors, and more with practice questions and quizzes.
Learn about the definition, properties and types of circles, and how to find their equation under different conditions. See examples of circles with centre, radius, diameter, tangent, normal and chord of contact.