The area of a circle is πr2. To find the area of a sector with a central angle of Θ, measured in radians, by what should you multiply πr2?
A) Θ
B) 2Θ
C) Θ/2
D) Θ/2π
is the answer D
pi r^2 you mean
(Θ /2pi) pi r^2
so yes D
Yes, the correct answer is D) Θ/2π.
To find the area of a sector, you multiply the area of the whole circle (which is πr²) by the ratio of the central angle Θ to the full revolution angle 2π.
So the formula to find the area of a sector is (Θ/2π) * πr², which simplifies to Θ/2.
Therefore, to find the area of a sector with a central angle of Θ, you should multiply πr² by Θ/2π.