a) construct a tangent to a circle at a point on the circle having radius 4 cm. b) construct a tangent to a circle having radius 3.5 cm from a point P outside the circle at 7.6 cm from the center of the circle
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Answer:
(1)Draw two concentric circle C
1
and C
2
with common center
0 and radius 4cm and 6cm
(2) Take a point P on the outer circle C
2
and join OP.
(3) Draw the bisector of OP which bisect OP at M'.
(4) Taking M' as center and OM' as radius draw a dotted circle which
cut the inner circle C
1
at two point M and P.
(5) Join PM and PP'. Thus, PM and PP' are required tangent.
On measuring PM and PP'.
PM=PP
′
=4.4cm
Bycalculation:
InΔOMP,∠PMO=90
0
PM
2
=OP
2
−OM
2
(bypythagorastheorem)
PM
2
=(6)
2
−(4)
2
=36−16=20
PM
2
=20cm
PM=
20
=4.4cm
Hence,
thelengthofthetangentis4.4cm
Step-by-step explanation:
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