Question

Q1.Construct a tangent to a circle of radius 4 cm

from a point on the concentric circle of radius 6

cm and measure its length. Also verify the

measurement by actual calculation​

Answer 1

Answer:

(1)Draw two concentric circle C1and 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=90⁰

PM²=OP²−OM². (bypythagorastheorem)

PM²=(6)²−(4)²

=36−16=20PM²=20cm

PM=20

=4.4cm

Hence,

the length of the tangent is 4.4cm.

Step-by-step explanation:

hope it's help you ✌️