A circle’s area is represented by A = π(x2 − 22x + 121). What expression represents the radius of the circle?
A. x + 11
B. x − 11
C. x − 22
D. x + 22
I got d please correct if wrong thx.
(x-11)^2 = r^2 = x^2 - 22 x + 121
so I do not get d
what is it then?
hint:
(a + b)² = a² + 2ab + b²
(a - b)² = a² - 2ab + b²
I'm confused what it it?
I got B I am an current math student.
The correct answer is B you dumb idiot
To find the expression that represents the radius of the circle, we need to recall the formula for the area of a circle:
A = πr^2
Comparing this to the given expression A = π(x^2 - 22x + 121), we can see that the expression inside the parentheses is similar to r^2. So, the expression that represents the radius of the circle is the square root of the expression inside the parentheses.
Taking the square root of (x^2 - 22x + 121), we get:
√(x^2 - 22x + 121)
Now, let's simplify the square root expression and check the available options:
√(x^2 - 22x + 121) = √((x - 11)^2) = |x - 11|
The square root of a squared term results in the absolute value of that term. Therefore, the expression representing the radius of the circle is |x - 11|.
Among the given options, option A (x + 11) is incorrect, since the radius cannot be negative (represented by the absolute value). Option B (x - 11) is indeed the correct expression representing the radius, so your initial answer of option D is incorrect.