To solve this exercise, you must follow the proccedure below:
1. You have that:
- The formula for calculate the area of the circle is: A=πr² ("r" is the radius of the circle).
-The problem says that the circle has a radius of 6x^9y^5 (r=6x^9y^5)
2. When you substitute r=6x^9y^5 into A=πr², you obtain:
A=πr²
A=π(6x^9y^5 cm)²
3. By applying the exponents properties, you have:
A=36πx^18y^10 cm²
4. Therefore, the answer is the second option: 36πx^18y^10
