Final answer:
The measure of the central angle of a sector can be found using the formula Central Angle = Area of Sector / Area of Circle * 360°.
Step-by-step explanation:
The measure of the central angle of a sector can be found by using the formula:
Central Angle = Area of Sector / Area of Circle * 360°
Given that the sector area is 51π /20, we can substitute this value into the formula:
Central Angle = (51π /20) / (πr²) * 360°
Simplifying, the πs in the numerator and denominator cancel out, leaving:
Central Angle = (51/20) / (r²) * 360°
Therefore, the measure of the central angle for turn B depends on the radius of the circle.