\(3\pi\)
\(6\pi\)
\(9\pi\)
\(12\pi\)
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
\(2a = 4 \implies a = 2\)
\(-2b = 8 \implies b = -4\)
\(r^{2} - a^{2} - b^{2} = -11 \implies r^{2} = -11 + 2^{2} + 4^{2} =9\)
\(r = 3\)
\(Area = \pi r^{2} = \pi \times 3^{2}\)
= \(9\pi\)
Solve 6 sin 2θ tan θ = 4, where 0º < θ < 90º ...
Given that \(^{n}P_{r} = 90\) and \(^{n}C_{r} = 15\), find the value of r....
Evaluate \(\int_{-1}^{0} (x+1)(x-2) \mathrm{d}x\)...
A car is moving at 120\(kmh^{-1}\). Find its speed in \(ms^{-1}\)....
Find the coordinates of the centre of the circle \(3x^{2}+3y^{2} - 4x + 8y -2=0\)...
\(P = {x : 1 \leq x \leq 6}\) and \(Q = {x : 2 < x < 9}\) where \(x \in R\), find \(P \cap Q\)...
A function \(f\) is defined by \(f :x→\frac{x + 2}{x - 3},x ≠ 3\).Find the inverse of \(f\)&...
If \(8^{x} ÷ (\frac{1}{4})^{y} = 1\) and \(\log_{2}(x - 2y) = 1\), find the value of (x ...