The area of the circle x2+y2=16exterior to the parabola y2=6xis(A) 34(4π−3) (B) 34(4π+3)(C) 34(8π−3) (D) 34(8π+3)

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The area of the circle {x}^{{2}}+{y}^{{2}}={16}exterior to the

Question

The area of the circle $x^{2} + y^{2} = 16$ exterior to the parabola $y^{2} = 6 x$ is(A) $\frac{4}{3} (4 π - 3)$ (B) $\frac{4}{3} (4 π + 3)$ (C) $\frac{4}{3} (8 π - 3)$ (D) $\frac{4}{3} (8 π + 3)$

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Alexander Discussed

The area of the circle

x^{2} + y^{2} = 16

exterior to the parabola

y^{2} = 6 x

is(A)

\frac{4}{3} (4 π - 3)

(B)

\frac{4}{3} (4 π + 3)

(C)

\frac{4}{3} (8 π - 3)

(D)

\frac{4}{3} (8 π + 3)

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Question Text

The area of the circle

x^{2} + y^{2} = 16

exterior to the parabola

y^{2} = 6 x

is(A)

\frac{4}{3} (4 π - 3)

(B)

\frac{4}{3} (4 π + 3)

(C)

\frac{4}{3} (8 π - 3)

(D)

\frac{4}{3} (8 π + 3)