What are the parts of the circle sector?
Parts of a circle
- an arc is a section of the circumference of the circle.
- a sector is an area enclosed by two radii and an arc.
- a chord is a straight line connecting two points on the circumference of a circle.
- a segment is a section formed between an arc and a chord.
How do you work out the sector of a circle?
The formula for sector area is simple – multiply the central angle by the radius squared, and divide by 2: Sector Area = r² * α / 2.
How do you find the area of a sector Bitesize?
Example
- Area of sector = 40 360 × π × 8 2. .
- Area of triangle = 1 2 ab sin C.
- Area of triangle = 1 2 × 8 × 8 × sin 40.
How many sectors are in a circle?
two sectors
A circle is divided into two sectors and the divided parts are known as minor sectors and major sectors. The large portion of the circle is the major sector whereas the smaller portion is the minor sector. In the case of semi-circles, the circle is divided into two equal-sized sectors.
What is a sector in a circle?
A circular sector, also known as circle sector or disk sector (symbol: ⌔), is the portion of a disk (a closed region bounded by a circle) enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector.
What is a sector angle?
Sector. A sector is a region bounded by two radii of a circle and the intercepted arc of the circle. The angle formed by the two radii is called a central angle. A sector with a central angle less than 180° is called a minor sector. A sector with a central angle greater than 180° is called a major sector.
What is area of sector of circle?
Area of a Sector of Circle = (θ/360º) × πr2, where, θ is the angle subtended at the center, in degrees, and r is the radius of the circle. Area of a Sector of Circle = 1/2 × r2θ, where, θ is the angle subtended at the center, in radians, and r is the radius of the circle.
What is area of sector of a circle?
Area of a Sector of Circle = (θ/360º) × πr2, where, θ is the angle subtended at the center, given in degrees, and ‘r’ is the radius of the circle. Area of a Sector of Circle = 1/2 × r2θ, where, θ is the angle subtended at the center, given in radians, and ‘r’ is the radius of the circle.
How to calculate the sector area of a circle?
Two radii separate the area of a circle into two sectors – the major sector and the minor sector. To calculate the sector area, first calculate what fraction of a full turn the angle is. Calculate the area of this sector which has a 60° angle to one decimal place.
Is the circumference always the same distance from the centre?
The circumference is always the same distance from the centre – the radius. Sectors, segments, arcs and chords are different parts of a circle. Two radii separate the area of a circle into two sectors – the major sector and the minor sector.
What are the different parts of a circle?
Sectors, segments, arcs and chords are different parts of a circle. Diameter and radius. The diameter of a circle is the distance from one side of a circle to the other through the centre. The radius is the distance from the edge of the circle to the centre. The diameter is twice as long as the radius.
Which is the formula for the area of a circle?
The formula for the area of a circle is \\pi r^2. In this question we are given the diameter rather than the radius. Given that the diameter is twice the length of the radius: Question 2: The diagram shows the sector of a circle with centre O . The radius of the circle is 5 m and the angle of the sector is 72\\degree.