Question

in quadrilateral ABCD, we draw the circle with AC as diameter which of the four vertices of ABCD would be inside circle ? which of them would be the outside the circle, which of the verteres on the circle​

Answer 1

Answer:

14cm

Step-by-step explanation:

∵ Lengths of tangents drawn from an external point to a circle are equal.

∴BQ=BR=27 cm

Let x be the radius of the circle

∴OP=OS=PD=x

Now,

CR=BC−BR

=38−27=11 cm

Now CS=CR=11 cm

[∵ Length of tangents from an external point to a circle are equal]

∴DS=CD−CS

=25cm−11 cm

=14 cm

But DS=OP=x=14 cm.

Hence radius =OP=14 cm,

Answer 2

Lengths of tangents drawn from an external

point to a circle are equal. .. BQ = BR = 27 cm

Let x be the radius of the circle

. OP = OS = PD = x

Now,

CRBC BRNow CS CR = 11 cm =

[ Length of tangents from an external point

to a circle are equal]

.. DS : CD - CS

= = 25cm 11 cm -

= 14 cm

But DS OP = x= 14 cm. =

Hence radius= OP 14 cm,