Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6cm and measure its length?
Answers
Step-by-step explanation:
(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
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