Question

5. A circular path runs around a circular flower bed.
If the circumference of the flower bed and path
are 88 m and 132 m respectively, find the width
of the path. Also, find the area of path.​

Answer 1

Step-by-step explanation:

first our aim is to find radius

by the formula

C=2 pi r

first we will find the radius of the flower bed

C=88

pi=22÷7

r=?

88=2×22÷7×r

r=22 repeat the same for the path also

Answer 2

Width of path =7m

Area of path=770 m^2

Circumference of path =132m

Let radius till path ends =r1

Circumference of flowers bed=88m

Let radius of flower bed =r2

We know circumference =2πR

We take value of π=22/7

Therefore, 2πr1=132

r1=21m

Similarly ,r2=14m

Width of path =r1-r2

=21-14. = 7m

Area of path = π [r1 square - r2 square]

= 22/7( (21)^2 - (14)^2 )

=770 m ^2