Question

the perimeter of the sector of the circle of area 64π sq.cm is 56 cm.find the area of sector​

Answer 1

Answer:

159.49 sq cm

Step-by-step explanation:

perimeter=r+r+length of arc

=56cm

now

area=Π*r*r

so r=8 cm

and peri=8+8+length of arc

=56 cm

so length of arc=40cm

now circumf'''=2Πr=16Π

=50.24cm

so

ratio of

length of arc to circum '''

=40/50.24

=area of sector/area of circle

=a of sec/64Π

so area of sector

=a of circ*40/50.24

=64Π*40/50.4

=159.49 sq cm....ANS