Given the diameter, d, of a circle, the radius, r, is: You may have to do a little preliminary mathematics to get to the radius. Be careful, though you may be able to find the radius if you have either the diameter or the circumference. You cannot find the area of a sector if you do not know the radius of the circle. The distance along that curved "side" is the arc length. True, you have two radii forming the central angle, but the portion of the circumference that makes up the third "side" is curved, so finding the area of the sector is a bit trickier than finding area of a triangle. Unlike triangles, the boundaries of sectors are not established by line segments.
When the two radii form a 180 °, or half the circle, the sector is called a semicircle and has a major arc. When the central angle formed by the two radii is 90 °, the sector is called a quadrant (because the total circle comprises four quadrants, or fourths). Arcs of a CircleĪcute central angles will always produce minor arcs and small sectors. The portion of the circle's circumference bounded by the radii, the arc, is part of the sector. A sector is created by the central angle formed with two radii, and it includes the area inside the circle from that center point to the circle itself.
The formula for diameter = Circumference/π.Anytime you cut a slice out of a pumpkin pie, a round birthday cake, or a circular pizza, you are removing a sector. If a diameter of a circle is given then by substituting the given values in the following diameter formula we can easily find the circumference of a circle.
Diameter of circle how to#
The formula for diameter = C/π units How To Find Circumference With Diameter Formula? If the circumference of a circle is given in 'C' units then it is easy to derive the diameter formula as given below: What Is the Diameter Formula When Circumference of a Circle Is Known? The radius of the circle is half the diameter of the circle. If the radius of a circle is given in 'r' units then it is easy to determine the diameter formula as given below: What Is the Diameter Formula When Radius of a Circle Is Known? If the area of a circle is given in square units then it is easy to derive the diameter formula as given below: This means the radius is half of the value of the diameter.įAQs on Diameter Formula What Is the Diameter Formula When Area of a Circle Is Known? We know that diameter is twice the value of the radius. We will use the diameter formula of the circle when the circumference is given.ĭiameter formula = Circumference/π = 8 unitsĪnswer: The diameter of the given circle is 8 units.Įxample 3: Using the diameter formula, can you determine the value of the radius if the diameter of a circle is 12 units? We will use the first formula to find the diameter of the circle.Īnswer: Diameter of the given circle = 48 inches.Įxample 2: Find the diameter of a circle whose circumference is 8π units. Let us solve some interesting problems using the diameter formula.Įxample1: Using the diameter formula find the diameter of a circle whose radius is 24 inches long.
Diameter of circle trial#
With Cuemath, find solutions in simple and easy steps.īook a Free Trial Class Examples on Diameter Formula Use our free online calculator to solve challenging questions. Diameter Formula Using Radius of a Circleįormula 1: The diameter is twice the length of the radius.ĭiameter Formula = 2 × Radius Diameter Formula Using Circumference of a Circleįormula 2: The diameter is the ratio of circumference to π.ĭiameter Formula = Circumference ÷ π Diameter Formula Using Area of Circleįormula 3: We can derive the diameter formula using the area formula which is We can find the diameter of a circle when the radius, area, or circumference is known. Let us consider the different cases of the Diameter Formula. Since there are infinite points on its circumference, this means that a circle has an infinite number of diameters and each diameter of the circle has an equal length.
The straight line connecting a point from one end of the circle to a point on the other end of the circle and passing through the center is called a diameter. Diameter is one of the important parts of a circle. Before we begin with the diameter formula, let us recall what is a diameter.
0 kommentar(er)
