Final answer:
The area of the shaded region between two concentric circles is calculated by subtracting the area of the smaller circle from the area of the larger circle, which is represented by the formula π(R² - r²).
Step-by-step explanation:
The student is asking how to calculate the area of the shaded region between two concentric circles, where one small circle is completely inside a larger circle. Since both circles share the same center point, the shaded area is simply the area of the larger circle minus the area of the smaller circle.
The formula for the area of a circle is A = πr², where r is the radius of the circle. If we let R represent the radius of the larger circle and r represent the radius of the smaller circle, the area of the shaded region would be:
πR² - πr²
Rewriting this, we combine the terms under one pi (π) symbol to get c) π(R² - r²), which is the correct answer.