if two circles of radii 3cm and 5cm touch internally, then the distance between their centres is
A) 2cm
B)8cm
C)34cm
D)16cm
Answers
Answer:
2 cm.
Step-by-step explanation:
r1 = 5 cm
r2 = 3 cm
Solution :- r1 - r2
= 5 - 3
= 2 cm.
=> Hence proved.
Given : Two circles of radii 3cm and 5 cm touch internally,
To Find : the distance between their centers
A) 2cm
B)8cm
C)34cm
D)16cm
Solution:
Draw two circle :
Circle with Radius 5 cm with center A
Circle with Radius 3 cm with center B
Both circles Touching Each other at C
Radius AC = 5 cm
Radius BC = 3 cm
Distance between Radius = AB
AB = AC - BC
= 5 - 3
= 2
Hence the distance between their centers is 2 cm
Correct option is A) 2cm
Additional Info :
If Two circles touches externally then Distance between radius is Sum of their radii
If Two circles touches internally then Distance between radius is difference between radii
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