Area of sector is 17.584 meters
Solution:
Given that we have to find the approximate area of a sector given O= 56 degrees with a diameter of 12m
Diameter = 12 m
Radius = Diameter / 2 = 6 m
An angle of 56 degrees is the fraction [tex]\frac{56}{360}[/tex] of the whole rotation
A sector of a circle with a sector angle of 56 degrees is therefore also the fraction [tex]\frac{56}{360}[/tex] of the circle
The area of the sector will therefore also be [tex]\frac{56}{360}[/tex] of the area
[tex]\text{ sector area } = \frac{56}{360} \times \pi r^2\\\\\text{ sector area } = \frac{56}{360} \times 3.14 \times 6^2\\\\\text{ sector area } = 17.584[/tex]
Thus area of sector is 17.584 meters
