The figures below depict the various parts of a circle: Minor sector – a sector with a central angle less than 180°.Major sector – a sector with a central angle larger than 180°.Sector: the area of a circle created between two radii.Tangent: a line that intersects the circle at only a single point the rest of the line, except the single point at which it intersects the circle, lies outside of the circle.Secant: a line that passes through the circle at two points it is an extension of a chord that begins and ends outside of the circle.A chord that passes through the center of the circle is a diameter of the circle. Chord: a line segment from one point of a circle to another point.Minor arc: an arc that is less than half the circumference.Major arc: an arc that is greater than half the circumference.Arc: part of the circumference of a circle.Circumference: the distance around the circle, or the length of a circuit along the circle.It is equal to twice the length of the radius. Diameter: the largest distance between any two points on a circle by this definition, the diameter of the circle will always pass through the center of the circle.It is equal to half the length of the diameter. Radius: the distance between any point on the circle and the center of the circle.Center (or origin): the point within a circle that is equidistant from all other points on the circle.It can also be defined as a curve traced by a point where the distance from a given point remains constant as the point moves. More specifically, it is a set of all points in a plane that are equidistant from a given point, called the center. Radius (R)Ī circle, geometrically, is a simple closed shape. Please provide any value below to calculate the remaining values of a circle. Note that our answer will always be an area so the units will always be squared.Home / math / circle calculator Circle Calculator We make a fraction by placing the part over the whole and we get \(\frac\) (or its decimal equivalent 0.2) to find our sector area, which is 5.654867 meters squared. Let’s try an example where our central angle is 72° and our radius is 3 meters.įirst, let’s find the fraction of the circle’s circumference our arc length is. So we need to find the fraction of the circle made by the central angle we know, then find the circumference of the total circle made by the radius we know.
#Circle geometry calculator how to
It’s good practice to make sure you know how to calculate these measurements on your own.Īn arc length is just a fraction of the circumference of the entire circle. Our calculators are very handy, but we can find the arc length and the sector area manually. How to Calculate the Area of a Sector and the Length of an Arc It will also calculate the area of the sector with that same central angle. The calculator will then determine the length of the arc. If we are only given the diameter and not the radius we can enter that instead, though the radius is always half the diameter so it’s not too difficult to calculate. To use the arc length calculator, simply enter the central angle and the radius into the top two boxes.
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