A circular flower garden surrounds a sculpture on a square base as shown. What is an expression for the area of the flower garden?
The number from the center of the square is 6x and the flower garden area is 4x

Respuesta :

The given object is made up of circle and squares. The expression for the area of the flower garden is 4π²(9π - 4)square units

Area of composite object

The given object is made up of circle and squares. To find the area of the garden, we wil use the expression

Area of the garden = area of circle - area of square

Find the area of circle

Area = πr²

Area = π(6π)²

Area pf circle = 36π³ square units

For the square

A = length * length

A = 4²π²

A = 16π²square units

Take the difference

D =   36π³ - 16π²

D =4π²(9π - 4)square units

Hence the expression for the area of the flower garden is 4π²(9π - 4)square units

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