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Mathematics
Mathematics
Problem
The largest area of a trapezium inscribed in a semi-circle of radius
R
R
R
, if the lower base is on the diameter, is (a)
3
3
4
R
2
\frac{3\sqrt{3}}{4}R^2
4
3
3
R
2
(b)
3
2
R
2
\frac{\sqrt{3}}{2}R^2
2
3
R
2
(c)
3
3
8
R
2
\frac{3\sqrt{3}}{8}R^2
8
3
3
R
2
(d)
R
2
R^2
R
2
(a)
3
3
4
R
2
\frac{3\sqrt{3}}{4}R^2
4
3
3
R
2
(b)
3
2
R
2
\frac{\sqrt{3}}{2}R^2
2
3
R
2
(c)
3
3
8
R
2
\frac{3\sqrt{3}}{8}R^2
8
3
3
R
2
(d)
R
2
R^2
R
2
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