Two circles of radii 5.5 cm and 3.3 cm respectively touch each other. What is the distance between their centers ? 4.4 cm 8.8 cm 2.2 cm 8.8 or 2.2 cm
Chapter 3 – Circle – Text Book Solution
Problem Set 3 | Q 1.01 | Page 83
Four alternative answers for the following question is given. Choose the correct alternative.
Two circles of radii 5.5 cm and 3.3 cm respectively touch each other. What is the distance between their centers ?
- 4.4 cm
- 8.8 cm
- 2.2 cm
- 8.8 or 2.2 cm
The radii of the two circles are 5.5 cm and 3.3 cm.
If two circles touch each other externally, distance between their centres is equal to the sum of their radii.
∴ Distance between their centres = 5.5 cm + 3.3 cm = 8.8 cm
If two circles touch each other internally, distance between their centres is equal to the difference of their radii.
∴ Distance between their centres = 5.5 cm − 3.3 cm = 2.2 cm
Thus, the distance between their centres is 8.8 cm or 2.2 cm
Hence, the correct answer is 8.8 or 2.2 cm .
Answer:-
The correct answer is 8.8 cm.
Explanation:
When two circles are touching each other externally, the distance between their centers is equal to the sum of their radii. Therefore, the distance between the centers of the given circles is:
Distance between centers = 5.5 cm + 3.3 cm = 8.8 cm
So the correct option is 8.8 cm. Option 2.2 cm is incorrect because it is the difference between the radii of the circles, which is not relevant to finding the distance between their centers.
Chapter 3 – Circle – Text Book Solution
Problem Set 3 | Q 1.01 | Page 83
Click Here to see All the Textbook solution of Circle