Question

A circular flower bed is surrounded by a
path 4m wide, The diameter of a flower
bed is 66 m. What is the area of the
path. (use = 3.14)​

Answer 1

Answer:-

The area of the path is 879.2m²

Step-by-step explanation:-

We know that,

Area of path = Area of larger circle - Area of smaller circle

Given that, Diameter of the bed is 66m

∴ Radius = Diameter/2

= 66/2

= 33m

Therefore, first let's find the radius of smaller and larger circle.

Larger circle

Radius = Radius of flower bed + Width of the path

= 33m + 4m

= 37m

Smaller circle

Radius of flower bed

= 66/2

= 33m

Now, Area of larger circle,

Area larger circle = πR²

= π(37)²

= 1369π cm²

Area of smaller circle,

Area of smaller circle = πr²

= π(33)²

= 1089π cm²

Now, Let's find the area of path,

Area of path = Area of larger circle - Area of smaller circle

According the question,

= 1369π - 1089π

= ( 1369 - 1089 )π

= ( 280 ) × 3.14

= 280 × 314/100

= 2.8 × 314

= 879.2m²