A sector of a circle has radius 9 cm and an arc length of 6 cm. Find the area of the sector.
A27 cm²CORRECT
B54 cm²
C18 cm²
D12 cm²
GCEFurther MathematicsTrigonometry and Circular Measure2021
AI
Toaster Teacher
Why the answer is A, and why the others tempt you.
The angle θ (in radians) = arc length ÷ radius = 6/9 = 2/3 rad. Area of sector = ½r²θ = ½ × 81 × 2/3 = 81/3 = 27 cm². A common error is using Area = r × l / 2 incorrectly or forgetting the ½ factor.
Want this in Pidgin, Yoruba, Igbo or Hausa? Sign up free →
Practice more Further Mathematics questions
GCE Further Mathematics has thousands more questions like this — with Worked answers on every one.