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Question

Mathematics Question on Area of a Triangle - by Heron’s Formula

Let Δ\Delta be the area of the region (x,y)R2:x2+y221,y24x,x1\\{(x,y)∈R^2:x^2+y^2≤21,y^2≤4x,x≥1\\}. Then 12(Δ21 sin1(27))\frac{1}{2}(\Delta-21\text{ sin}^{-1} (\frac{2}{\sqrt7})) is equal to

A

√3-4/3

B

2√3-1/3

C

√3-2/3

D

2√3-2/3

Answer

√3-4/3

Explanation

Solution

The correct answer is √3-4/3