ABCD is a square of side lenght 1 unit A circle is tangent to two sides of ABCD and - Maths - Circles

Question

ABCD is a square of side lenght 1 unit A circle is tangent to
two sides of ABCD and passes through exactly one of verices the
radius of circle is
a) [2+ 21/2] b) 2- 21/2 c) 0 5 d) 3/2

priyanka saggu · Accepted Answer

ABCD is a square of each side of length 1 unit Let the circle has
two tangents CD and BC which touches the circle at E and
F respectively OE is radii and it is perpendicular to the
tangent OC = 12AC diagonals of a square bisect each otherAC = 12+12
=2  (by pythagoras theorem in △ABC)So, OC =22 In
△ODC, By Pythagoras theorem,OE = OC2-CD2 = 24-14 =12 = 0
5

ABCD is a square of side lenght 1 unit. A circle is tangent to two sides of ABCD and passes through exactly one of verices. the radius of circle is a) [2+ 21/2] b) 2- 21/2 c) 0.5 d) 3/2

ABCD is a square of side lenght 1 unit. A circle is tangent to two sides of ABCD and passes through exactly one of verices. the radius of circle is

a) [2+ 2^1/2] b) 2- 2^1/2 c) 0.5 d) 3/2