Two circles of radii 5.5cm and 4.2cm touch each other externally. Find the distance
between their centres.
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Given:-
- Two circles of radii 5.5cm and 4.2cm touch each other externally
To find:-
- the distance between their centres.
Solution:-
Let the two circles having centres P and R touch each other externally at point Q.
Here, PQ = 5.5 cm, QR = 4.2 cm
(The circles are in the attachment)
The two circles touch each other externally.
∴ By theorem of touching circles,
P – Q – R
PR = PQ + QR
5.5 + 4.2
9.7 cm
"The distance between the centres of the circles touching externally is equal to the sum of their radii"
Therefore, the distance between their centres is "9.7cm"
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Anonymous:
hi
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