1i've done till finding the length of the diagonal,but which heights?and how is their sum = radius,
Two adjacent sides of a cyclic quadrilateral are 2 and 5 units,the angle between them is 60 degrees . Area of quad = 4√3 units ,find the area of the circle
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4 Answers
62Hint of oslving this one
take the triangle of these two sides and inclusive angle
the area is easily found..
also the area of the other triangle of this quadrilateral is known.
Now you also know the diagonal of this quadrilateral.
What you need to do is to draw the perpendicular bisector of this diagonal
Then you know the area on both sides will be equal
so you know the heights on both sides.
So you know the radius. (Sum of these heights)
Now you know the area
162
Triangles BCD and BWD have the same area
the red line is perpendicular to the diagonal (BC) of the quadrilateral ABCD
Thus we know the height of the red line on both sides
thus we know the length of the red line which happens to be the diagonal