What is the area of a sector

when r = 3 and 0 = 2.75 radians?

Area of circle: A=pi*r². This area coresponds to 360degrees, or 2*pi radians.

2*pi ... pi*r²

t radians ... x

where t=2.75rads

Area of t: x=pi*r²*t/2/pi=r²*t/2

Area of t: 3²*2.75/2=9*2.75/2=12.375

Answer: the area of 2.75 radians is 12.375