Question

If the perimeter of a sector of a circle of radius
5.6 cm is 27.2 cm, find the area of the sector.​

Answer 1

Answer:

1060.46 square feet (ft²)

Step-by-step explanation:

Answer 2

radius= 5.6cm

perimeter of sector= 2r+ y/360x2x22/7xr  where y= angle theeta or angle subtended at the centre of circle

27.2 = 2x5.6+ y/360x44x0.8

27.2x360= 11.2+35.2y

9792-11.2= 35.2y

9780.8= 35.2y

y= 277.86 (not sure about the answer but, this is the method...)

 

area of sector of circle= y/360x22/7xr2 where y= angle theeta or angle subtended at the centre of circle

= 277.86/360x22/7x5.6x5.6

= 0.77x22x0.8x5.6

=75.8 sq.cm ( should be the answer)