Question

Question number 12. Find the area of each sector.DO NOT ROUND.

Answer 1

For solving this problem we need to remember the generic formula. If we have a circle sector with angle x (in degrees),

`\text{Area of S}=(radius)^2\cdot\pi\cdot((angle)/(360))`

The trick of this exercise is that our angle is expressed in degrees (°). Be careful!

Let's compute the solution:

`Area\text{ of our sector }=(16\cdot\pi)^2\cdot\pi\cdot((240)/(360))=16^2\cdot\pi^2\cdot\pi\cdot((2)/(3))=\pi^3\cdot((512)/(3))=(512)/(3)\cdot\pi^3`

That's the final answer.

Comment: For every exercise of this kind you only need to apply the formula I provided you above. If the angle is in radians, the formula is

`\text{ Area of sector }=(1)/(2)(radius)^2\cdot(angle)`