Question

PLZ HELP ASAP AREA OF A SECTOR

Answer 1

The fraction of a circle represented by the shaded region is:
 S '/ S = ((8/5) * pi * r) / (2 * pi * r)
 Rewriting we have:
 S '/ S = ((8/5)) / (2)
 S '/ S = 8/10
 S '/ S = 4/5
 Then, we can make the following rule of three:
 (64/5) pi -------> 4/5
 x ----------------> 1
 Clearing x we have:
 x = ((1) / (4/5)) * ((64/5) pi)
 Rewriting:
 x = (5/4) * ((64/5) pi)
 x = (5/4) * ((64/5) pi)
 x = 50.24
 Answer:
 The area of the complete circle is:
 x = 50.24