Sector Area
Introduction
Introduction
A sector is defined as a region of a circle bounded by 2 radii and an arc.
A sector is defined as a region of a circle bounded by 2 radii and an arc.
Depending on the size of the sector, we can divide sectors into either a major sector (> semicircle) or a minor sector (< semicircle).
Depending on the size of the sector, we can divide sectors into either a major sector (> semicircle) or a minor sector (< semicircle).
Formula
Formula
The area of a circle = πr2
The area of a circle = πr2
The area of a sector is a fraction (θ out of 360°) of the area of a circle where θ is the angle subtended to the centre.
The area of a sector is a fraction (θ out of 360°) of the area of a circle where θ is the angle subtended to the centre.
Proof for Radian Formula
Proof for Radian Formula
Test Yourself!
Test Yourself!
Use the applet below to test your understanding of the area of a Sector.
Use the applet below to test your understanding of the area of a Sector.
Difficulty increases with the amount of points scored.
Difficulty increases with the amount of points scored.