Question

A circular flower garden surrounds a scuplture on a square base as shown What is the expression for the area of the flower garden?

Answer 1

Answer: $\pi r^2-s^2$

Step-by-step explanation:

Since there is no figure attached, I'll give you a general explanation to solve this exercise.

Observe the figure attached.

It is important to remember the following:

1. By definition, the area of a circle can be calculated with the following formula:

$A_{circle}=\pi r^2$

Where "r" is the radius of the circle.

2. By definition, the area of a square can be calculated with the following formula:

$A_{square}=s^2$

Where "s" is the length of any side of the square.

In this case, according to the information given in the exercise, you know that the circular flower garden surrounds the sculpture on a square base. Therefore, the the area of the flower garden is:

 $A_{garden}=A_{circle}-A_{square}=\\\\A_{garden}=\pi r^2-s^2$

So, the expression is:

$\pi r^2-s^2$