Given
- arc AB of circle O is 1/4 of the circumference
- radius of circle O is 5
- pi is 3.14
Find
Solution
Since arc AB is 1/4 of the circumference, the central angle AOB will be 1/4 of a circle, so π/2 in radians. The area of a sector is given by
... A = (1/2)r²·θ
where θ is the central angle in radians and r is the radus.
The area is ...
... A = (1/2)·5²·π/2 = 25π/4
... A ≈ 19.625
The area of the sector is about 19.63 square units.
