\(3\pi\)
\(6\pi\)
\(9\pi\)
\(12\pi\)
Correct answer is C
Equation of a circle: \((x - a)^{2} + (y - b)^{2} = r^{2}\)
Given that \(x^{2} + y^{2} - 4x + 8y + 11 = 0\)
Expanding the equation of a circle, we have: \(x^{2} - 2ax + a^{2} + y^{2} - 2by + b^{2} = r^{2}\)
Comparing this expansion with the given equation, we have
\(2a = 4 \implies a = 2\)
\(-2b = 8 \implies b = -4\)
\(r^{2} - a^{2} - b^{2} = -11 \implies r^{2} = -11 + 2^{2} + 4^{2} =9\)
\(r = 3\)
\(Area = \pi r^{2} = \pi \times 3^{2}\)
= \(9\pi\)
In what interval is the function f : x -> 2x - x\(^2\) increasing? ...
Simplify \((216)^{-\frac{2}{3}} \times (0.16)^{-\frac{3}{2}}\)...
Consider the following statement: x: All wrestlers are strong y: Some wresters are not weightl...
Find the fourth term of the binomial expansion of \((x - k)^{5}\) in descending powers of x....
If \(h(x) = x^{3} - \frac{1}{x^{3}}\), evaluate \(h(a) - h(\frac{1}{a})\)...
Find the radius of the circle \(x^{2} + y^{2} - 8x - 2y + 1 = 0\)....
If Un = kn\(^2\) + pn, U\(_1\) = -1, U\(_5\) = 15, find the values of k and p....