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Byju's Answer
Standard XII
Mathematics
Centroid
find the radi...
Question
find the radius of the circle the coordinates of extremities of whose diameter are (-2sintheta,-2 costheta) and (2sintheta,2costheta)
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Solution
Dear student
Let AB be the diameter of the circle whose centre is O.
And, A
-
2
sinθ
,
-
2
cosθ
and
(
2
sinθ
,
2
cosθ
)
Now
,
AB
=
2
sinθ
+
2
sinθ
2
+
2
cosθ
+
2
cosθ
2
=
16
sin
2
θ
+
16
cos
2
θ
=
16
sin
2
θ
+
cos
2
θ
=
16
=
4
So
,
diameter
of
the
circle
=
4
units
and
radius
of
the
circle
=
diameter
of
the
circle
2
=
4
2
units
=
2
units
Regards
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