29. Construct a tangent to a circle of radius 4cm from a point on the concentric circle of radius 6cm and measure its length. Also verify the measurement by actual calculation.
OR Draw a circle of radius 1cm .From a point P 2.2cm apart from the centre of the circle draw tangents to the circle. Also
justify the construction.
Answers
Answer:
draw a circle of radius 4cm and then again draw draw a circle of radius 6cm from the same centre .
(concentric circles means their center is same)
draw perpendicular bisector of it .
take mo as radius and m as centre draw a circle
join the tangents PA and PB
name the centre O
MO is the radius
M is another name
Mark me as a brianliant
follow also
Step-by-step explanation:
(1)Draw two concentric circle C1 and C2 with common center
0 and radius 4cm and 6cm
(2) Take a point P on the outer circle C2 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 C1 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°
PM^2=OP^2−OM^2(bypythagorastheorem
PM^2=(6)^2−(4)^2
=36-16=20
PM^2=20cm
PM=root 20
=4.4cm
Hence, the length of the tangent is 4.4cm.
