annabingo.blogg.se - Circle geometry calculator

Sector angle of a circle θ= (180 x l )/ (π r ). And sector of a circle AOB.Īrc length of circle( l ) (minor) = ( θ /360) x 2 π r = θ π r / 180Īrea of the sector(minor) = ( θ /360) x π r 2 Here angle between two radii is ” θ” in degrees. Here Origin of the circle = O, Diameter = D and Radius = rĪrea of a circle (A ) = π r 2 =( π/4 ) D 2 = 0.7854 D 2Ĭircumference of a circle ( C )= 2 π r = π D.Īrea of circle =( 1/2) x Circumference x radius In two concentric circles, the chord of the larger circle that is tangent to the smaller circle is bisected at the point of contact.Ĭircle Formulas in Math : Area and circumference of a circle:.Tangent means it is a line that touches a circle at exactly one point. Secant means a line that intersects a circle at two points.If the sum of the opposite angles of a quadrilateral is 180°, then the quadrilateral is cyclic.Equal chords of a circle ( or of congruent circles) subtended equal angles at the center.(at the corresponding centers) The converse is also true.The degree measure of an arc of a circle is twice the angle subtended by it at any point on the alternate segment of the circle.Equidistant chords from the center of a circle are equal to each other in terms of their length.Equal chords of a circle or congruent circles are equidistant from the center.If two chords of a circle are equal, then the center of the circle lies on the angle bisector of the two chords.If two circles intersect in two points then the line through the centers is the perpendicular bisectors of the common chord.There can be one and only one circle passing through three or more non -collinear points.The perpendicular bisectors of two chords of a circle intersect at its center.The perpendicular from the center of a circle to a chord bisects the chord.

Congruency: Two circles can be congruent if and only if they have equal radii.

Secant of circle : A line that intersects a circle at two points then it is called Secant of circle. Tangent of circle: a line perpendicular to the radius that touches ONLY one point on the circle. The pi ( π ) = (The circumference) / (The diameter) of any circle. Sector of a circle: It is a part of the area of a circle between two radii (a circle wedge).Ĭhord :A line segment within a circle that touches two points on the circle is called chord of a circle.Ĭircumference : The distance around the circle is called circumference or perimeter of the circle. The bigger one is called the major arc and the smaller one the minor arc. e D = 2r.Īrc of a circle: It is a part of the circumference of the circle. Diameter of the circle = 2 x Radius of the circle. Radius : Distance from center of circle to any point around it circumference is called Radius of the circle.Generally it is denoted by ” r “.ĭiameter: The longest distance from one end of a circle to the other end of the circle is called dia of the circle. Origin :It is a center(equidistant) point of the circle. In this we discuss about Properties of circle, circle formulas like area, perimeter, arc length, segment length, segment area.

Properties of circle in math | Arc, Perimeter, Segment of circleĪ circle can be defined as, it is the locus of all points equidistant from a central point.