What is the sector formula?
To calculate the area of a sector of a circle we have to multiply the central angle by the radius squared, and divide it by 2. Area of a sector of a circle = (θ × r2 )/2 where θ is measured in radians. The formula can also be represented as Sector Area = (θ/360°) × πr2, where θ is measured in degrees.
What is radius diameter circumference?
The circumference is the distance around the circle. In other words, the circle’s perimeter. The diameter is a straight line that passes through the center of the circle. The radius is half of the diameter. It starts from a point on the circle, and ends at the center of the circle.
How do you find radius diameter and chord?
How to Identify Radii, Chords, and Diameters
- Radius: A circle’s radius — the distance from its center to a point on the circle — tells you the circle’s size.
- Chord: A segment that connects two points on a circle is called a chord.
- Diameter: A chord that passes through a circle’s center is a diameter of the circle.
Is diameter a chord?
(a) Yes, every diameter of a circle is also a chord because a chord of a circle is any line segment joining two points on the circle’s circumference. Therefore, every diameter of a circle is also a chord, and every chord of a circle is not a diameter.
How do you calculate sectors?
The formula for sector area is simple – multiply the central angle by the radius squared, and divide by 2: Sector Area = r² * α / 2.
Can a chord Be diameter?
A chord that passes through the center of a circle is called a diameter and is the longest chord of that specific circle.
How do you compare chords and arcs?
An arc is a part of a curve. It is a fraction of the circumference of the circle. A sector is part of a circle enclosed between two radii. A chord is a line joining two points on a curve.
How do you find the circumference with a radius?
The perimeter or circumference of the circle can be found using the equation C=2π(r), where r= the radius of the circle. Since we have two semi-circles we can find the circumference of one whole circle with a radius of 4, which would be 8π.
Can a chord be a diameter?