Given a 30 meter x 60 meter garden with a circular fountain with a 5 meter radius, calculate the area of the portion of the garden not occupied by the fountain.

30 x 60 = 1800
3.14 x 25 = 78.25/2=39.125

1800 - 39.125 = 1,760.875 but this is incorrect

The answer choices are:
A. 1721 sq.m
B. 1879 sq.m
C. 2585 sq.m
D. 1015 sq.m

What am I doing wrong?

Thank you!

3.14 * 25 = 78.5 square meters

1800 - 78.5 = 1721.5

A is close

To calculate the area of the portion of the garden not occupied by the fountain, you need to find the area of the garden and subtract the area of the fountain.

The area of the garden is calculated by multiplying the length and width of the garden, which is 30 meters and 60 meters, respectively.

Area of the garden = 30 meters x 60 meters = 1800 square meters (Correct)

The area of the fountain can be calculated using the formula for the area of a circle, which is πr^2, where π is approximately 3.14 and r is the radius of the fountain, which is 5 meters.

Area of the fountain = 3.14 x (5 meters)^2 = 3.14 x 25 square meters = 78.5 square meters (Correct)

To find the area of the portion of the garden not occupied by the fountain, subtract the area of the fountain from the area of the garden.

1800 square meters - 78.5 square meters = 1721.5 square meters

So the correct answer is: A. 1721 sq.m

It seems like you made a minor calculation error when subtracting the area of the fountain from the area of the garden.

To calculate the area of the portion of the garden not occupied by the fountain, you need to find the area of the entire garden and subtract the area of the circular fountain.

The area of the entire garden is calculated by multiplying the length by the width:
30 meters x 60 meters = 1800 square meters.

The area of a circle is calculated using the formula A = πr^2, where A is the area and r is the radius. In this case, the radius of the fountain is given as 5 meters. So, the area of the fountain is:
π x 5^2 = 3.14 x 25 = 78.5 square meters.

To find the area of the portion of the garden not occupied by the fountain, subtract the area of the fountain from the area of the entire garden:
1800 square meters - 78.5 square meters = 1721.5 square meters.

Therefore, the correct answer is option A, 1721 square meters.