Question

Write a polynomial that represents the area of the inner circle. Write your amswer in terms of pi

Answer 1

(x²+8x+16)π in²

Explanation:

Since were not given the diagram of the circle. Let's assume the radius of inner circle is x+4

radius r = x+4

Area of the circle = πr²

Area of the circle = π(x+4)²

Area of the circle = π(x+4)(x+4)

Area of the circle =π(x²+4x+4x+16)

Area of the circle = π(x²+8x+16)

Area of the inner circle in terms of pi is (x²+8x+16)π in²