How do you work out the sector of a circle?
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.
What are the sectors in a circle?
A sector of a circle is a pie-shaped part of a circle made of the arc along with its two radii. A portion of the circumference (also known as an arc) of the circle and 2 radii of the circle meet at both endpoints of the arc formed a sector. The shape of a sector of a circle looks like a pizza slice or a pie.
What is the formula for area of an arc?
Calculate the area of a sector: A = r² * θ / 2 = 15² * π/4 / 2 = 88.36 cm² . You can also use the arc length calculator to find the central angle or the circle’s radius.
What are sectors in maths?
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 the formula of area of segment?
Area of a Segment of a Circle Formula
| Formula To Calculate Area of a Segment of a Circle | |
|---|---|
| Area of a Segment in Radians | A = (½) × r2 (θ – Sin θ) |
| Area of a Segment in Degrees | A = (½) × r 2 × [(π/180) θ – sin θ] |
What is the formula of chord?
How to Find the Length of the Chord?
| Chord Length Formula Using Perpendicular Distance from the Centre | Chord Length = 2 × √(r² – d²) |
|---|---|
| Chord Length Formula Using Trigonometry | Chord Length = 2 × r × sin(c/2) |
What is the longest chord?
Diameter
Hence, Diameter is the longest chord.
What is the formula of minor sector?
When the angle subtended at the center is given in degrees, The area of a sector can be calculated using the following formula, area of a sector of circle = (θ/360º) × πr2, where, θ is the angle subtended at the center, given in degrees, r is the radius of the circle.
What is a major sector of a circle?
A sector is a region bounded by two radii of a circle and the intercepted arc of the circle. A sector with a central angle greater than 180° is called a major sector.
What are sectors and arcs in a circle?
– Segment: The area formed by a chord and the circumference. – Arc: A fraction of the circumference. – Sector: The area formed by two radii and an arc (also, a fraction of the total area). – Tangent: A line which touches the circumference at only one point.
How to do circles and arcs in Edexcel?
Home Edexcel IGCSE Maths Topic Questions 4. Geometry 4.13 Circles – Sectors & Arcs Loading Revision Notes… Already a member? Log In
How are sectors, segments, arcs and chords calculated?
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. 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.
What are the different parts of a circle?
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. To calculate the sector area, first calculate what fraction of a full turn the angle is.