We need to find the area of a sector of circle, bounded by a 114° arc. That sector is a fraction of the circumference, let's calculate it:
We have an arc of 114°, while the complete circumference has 360°.
The fraction of circle from we are going to calculate the area is:

Now, we can estimate the total area of the circle of radius 6, and then multiply it by the fraction of circumference that concerns us: 114/360.
The area of the cicle is:

Now, the area of the sector is:

360 is ten times 36, so:

Now simplifying, the half of 114 is 57, while the half of 10 is 5, then:
