Question

A circular path has to be constructed around a circular ground. If the area of the outer and inner circle are 1386 M2 and 616 M2 respectively, find the width and area of the path​

Answer 1

Answer:

area of path= 770 m2

width of path= 7m

Step-by-step explanation:

Given,

Area Of Outer Circle=1386 m2

Area Of inner Circle = 616 m2

now,

we'll first find radius of both the circles:

radius of outer circle=>

area of circle= (pi)x R*R

=> 22/7* R2=1386

R2=1386*7/22

R2=441

R=$\sqrt{441}$

R=21

now, we'll do the same with the outer one

22/7*r2=616

r2=616*7/22

r2=196

r=$\sqrt{196)$

r=14

now

width of the park= R-r

=21-14

=7 m

now,

the area of the path= A-a

=1386-616

=770 m

Answer 2

outer circle area = πR 2 = 1386

R2=1386x7/22=44l

R=v441=2l m

Inner circle=πr 2 = 616

r2=616x7/22=196

r=v196=14 m

width=R-r=21-14=7m. Ans

Area of the path=1386-6l 6

= 770m2