Answer:
The answer is below
Step-by-step explanation:
The question is not complete, But I would show how to solve the problem
The area of a sector of a circle with radius r and a subtended central angle θ in degree has an area of:
Area = [tex]\frac{\theta}{360}*\pi r^2[/tex]
Where θ is in degrees.
If the central angle is in radian, then the area of the sector is given as:
[tex]Area=\frac{\theta}{2\pi}*\pi r^2\\ Area=\frac{\theta}{2}* r^2[/tex]
Let us assume A circle has a radius of 2.5 mm a sector of the circle has a central angle of 4 pi/3 radians.
Therefore the radius (r) = 2.5 mm and the central angle (θ) = 4π/3
Therefore:
[tex]Area=\frac{\theta}{2}*r^2\\ \\Area=\frac{\frac{4\pi}{3} }{2} *2.5^2=13.1\ mm^2\\[/tex]
