Question

23. Construct a tangent to a circle of radius 4cm at any point Pon
24. In the given figure, find the value of sinoc + coso ?
А
o
4cm
5cm
90
B
3cm​

Answer 1

Answer:

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 2

Step-by-step explanation:

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