antitaya.blogg.se - Chord geometry diagram

The tangent touches the circle's radius at a right angle. The tangent of a circle is defined as a straight line that touches the curve of the circle at only one point and does not enter the circle’s interior.

d is the perpendicular distance from the chord to the circle center.

c is the angle subtended at the center by the chord.

Chord Length = 2 × r × sin(c/2) (using trigonometry).

Chord Length = 2 × √(r 2 − d 2) (using perpendicular distance from the center).

To calculate the chord of a circle, we use two basic formulas: In the figure given below, PQ is represented as the chord of the circle with O as the center. In a circle, when the chord is extended infinitely on both sides it becomes a secant. A chord divides the circle into two regions known as the segment of the circle which can be referred to as minor segment and major segment depending on the area covered by the chord.

Diameter = 2√(Area/π) (used when the area of the circle is given)Ī chord of a circle is a line segment that joins two points on the circumference of the circle.

Diameter = Radius × 2 (used when the radius is given).

Diameter = Circumference/π (used when the circumference is given).

To calculate the diameter of a circle when the radius, area of a circle, and circumference is known, we use the following formulas: There can be an infinite number of diameters where the length of each diameter of the circle is length. The diameter is measured from one end of the circle to a point on the other end of the circle, passing through the center.

The diameter is also known as the longest chord of the circle and is twice the length of the radius. The diameter of a circle is a line segment that passes through the center of the circle and with endpoints that lie on the circumference of a circle. Hence, when the area of the circle is given, we use this formula. Radius of Circle = √(Area/π) - The area of a circle is the space inside the circle.Radius of Circle = Circumference / 2π - The circumference is the perimeter of the circle and when the circumference is given, we use this formula.When the diameter is known, we use this formula. Radius of Circle = Diameter / 2 - The diameter is twice the length of the radius and is also the longest chord of the circle.To calculate the radius of a circle when the diameter, area of a circle, and circumference is known, we use the following formulas: Usually, the radius of a circle is denoted by 'r'. A circle can have many radii (the plural form of radius) and they measure the same.

The radius of a circle is the length of the line segment joining the center of the circle to any point on the circumference of the circle.

π = Pi with the value approximated to 3.14159 or 22/7.When the diameter is given: Circumference of a circle formula = π × D.When the radius is given: Circumference of a circle formula = 2πr.The formulas for the circumference of a circle are given as follows:

Since we cannot use the ruler (scale) to measure the distance of this curved figure, we apply a formula that uses the radius, diameter, and the value of Pi (π). The circumference of a circle has three most important elements namely, the center, the diameter, and the radius. In other words, when we measure the boundary or the distance around the circle, that measure is called the circumference and it is expressed in units of length like centimeters, meters, or kilometers. The circumference of a circle is its boundary. Let us discuss each of the parts in detail. The different parts of a circle are listed below: A circle is a closed figure with a curved boundary and has many parts that represent the properties and characteristics of a circle.