A square has two of its vertices on a
circle and the other two are on a
tangent to the circle. Find the area of
the square if the radius of the circle is 5
units.
(1) 64 sq. units
(2) 36 sq. units
(3) 50 sq. units
(4) 100 sq. units
Let us consider side of square is 'a'
Then on usin Pythagoras theorem we have this eq.
((2*(a^2))/4)=(100+(a^2))/4
On solving the avobe eq we get a= +10,-10,
Then the side of square is 10
So the area of square is 10 * 10=100 sq. unit