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Program: SECTOR
SECTOR
- Computes the area of a sector or segment of a circle, given the radius and central angle.
- Computes the length of an arc of a circle, given the radius and central angle.
Useful for:
- SAT
- ACT
- Geometry
- Precalculus
- Trigonometry
- Calculus
Example
Q: Find (a) the area of the shaded sector
in Diagram 1.
(b) the length of arc AB in Diagram 1
(c) the area of the shaded segment in Diagram 2
Solution:
Run SECTOR. How?
Enter
RADIUS = 4
CENTRAL ANGLE = 80
The program reports:
Press ENTER for more.
The program reports:
Press ENTER for more.
The program reports:
Interpretation:
a. 32π/9 or about 11.2
b. 16π/9 or about 5.6
c. about 3.3
Diagram 1
Diagram 2