Final answer:
The exact sector area for the sector formed by a central angle of 30 degrees in a circle of radius 5 is 5π/12 square units.
Step-by-step explanation:
To find the exact sector area of a sector formed by a central angle of 30 degrees in a circle of radius 5, you can use the formula:
Area = (angle/360) x π r²
Given that the angle is 30 degrees and the radius is 5, we can plug these values into the formula:
Area = (30/360) x π (5)² = (1/12) x π 25 = 5π/12
So, the exact sector area is 5π/12 square units.