Question

A circular flower park is surrounded by a 4 meter wide path. the diameter of the flower park is 68 m then the area of the path is...... ( a ) 36 π sq m........ ( b ) 288 π sq m........ ( c) 113 π sq m...... ( d ) 400 π sq m

Answer 1

Perimeter of path=4meters,diameter of path =68m,radius of path=d/2=68/2=34m,area of path=pi r square = 34pisquarem

Answer 2

$\textbf {Hey there, here is the solution.}$

.............................................................................................

Find radius of the flower park:

Radius = diameter ÷ 2

Radius = 68 ÷ 2 = 34 m

.

Find the area of the flower park:

Area = πr²

Area = π (34)² = 1156π m²

.............................................................................................

Find the radius of the flower park and the path:

Diameter = 68 + 4 + 4 = 76 m

Radius = Diameter ÷ 2 = 76 ÷ 2 = 38 m

.............................................................................................

Find the area of the flower park and path:

Area = πr²

Area = π (38)² = 1444 m²

.............................................................................................

Find the area of the path:

Area = 1444 - 1156 = 288π m²

.............................................................................................

Answer: (b) 288π m²

.............................................................................................

⭐$\textbf {Cheers }$⭐