Final answer:
To calculate the area of the border around the circular pond, we can subtract the area of the smaller circle from the area of the bigger circle. The radius of the bigger circle is 11 meters, and the radius of the smaller circle is 1.5 meters. Therefore, the area of the border is approximately 373.1 square meters.
Step-by-step explanation:
To find the area of the border, we need to calculate the area of the bigger circle and subtract the area of the smaller circle. The radius of the bigger circle is (1.5 + 20/2) = 11 meters, since the border extends equally on both sides. The area of the bigger circle is A = πr² = 3.1415927 × (11)² = 380.132632 square meters. The radius of the smaller circle is 1.5 meters, and its area is A = πr² = 3.1415927 × (1.5)² = 7.0699065 square meters. So, the area of the border is approximately 380.132632 - 7.0699065 = 373.0627255 square meters.