AREA of a sector
A=(pi)(r^2)(focus angle/360)
The area of a sector is the part of a circle enclosed by two radii of the circle and the arc that lies between them.
To find the area of a sector, you need to know two things: the angle of the sector (in radians or degrees) and the radius of the circle.
The formula for finding the area of a sector is:
A = (θ/360) x πr²
where A is the area of the sector, θ is the angle of the sector in degrees, r is the radius of the circle, and π (pi) is a constant approximately equal to 3.14.
To use this formula, you first need to convert the angle of the sector to radians if necessary. To do this, multiply the angle in degrees by π/180.
Once you have the angle in radians, you can plug it and the radius of the circle into the formula to find the area of the sector.
For example, if you have a sector with an angle of 60 degrees and a radius of 5 cm, the area of the sector would be:
A = (60/360) x π(5²) = (1/6) x π(25) ≈ 4.14 cm².
More Answers:
Understanding the Importance of Standard Position in Mathematics: A Guide to Accurate Geometric Measurements and CalculationsUnderstanding Terminal Sides in Standard Position for Angles in Mathematics
Understanding Initial Sides in Geometry: Definition, Importance and Usage