draw a circle of radius 5 cm from a point P 7 cm away from the centre and construct the tangent of a circle museum the length of tangent segment
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Draw ⨀(A,5 cm) and take point B in its exterior such that AB=8 cm.
To construct:
Through B, tangents are to be drawn to ⨀(A,5 cm).
Steps of construction:
1) Draw ⨀(A,5 cm) and take point B in its exterior such that AB=8cm.
2) Draw
AB
.
3) Obtain the midpoint M of
AB
by constructing its perpendicular bisector.
4) Draw ⨀(M,MA) intersecting ⨀(A,5 cm) at X and Y.
5) Draw
BX
and
BY
.
Hence,
BX
and
BY
are the required tangents.
The length of tangents
BX
and
BY
is 6.2 (approx)
i.e., BX=BY=6.2 cm (approx.)
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