Question

the perimeter of sheet of paper is the shape of a quadrant of a circle is 75 meter find its area​

Answer 1

Answer:

346.5

Step-by-step explanation:

Perimeter = r + r + l

75 cm = 2r + length arc

75cm=2r+2πr/4

⇒75cm=2r+(22×r)/(7×2)

⇒r=21cm.

⇒Its are

=1/4[22/7×21×21]

=1\4×1386

=346.5

Answer 2

Answer:

central angle=90 degree

perimeter=2r+I

r-radius, I = arc length

2 r+x/36o. x2 πr

2r+9o/360. x2 x 22/7xr = 75

2r+11r/7=75.multiply by 7

I4r+11r=525

25 r = 525

r = 525 / 25

r = 21cm

Area of quadrant=πr 2/4. OR

x/360.πr 2

πr 2/4=22/7. x21x21=1386m2

Area =1386cm2