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Byju's Answer

Standard X

Mathematics

Tangent as Special Case of Secant

If radii of t...

Question

If radii of two circles are $4 c m$ and $2.8 c m$ which touches externally, then find the distance between their centres.

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Solution

Circles touching externally:

Distance = 4+2.8 = 6.8 cm

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Q. Two circles of radii

5.5 c m

and

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touch each other externally. Find the distance between their centres.
Let the two circles having centres

P

and

R

touch each other externally at point

Q

.
Here,

P Q = 5.5 c m, Q R = 4.2 c m

The two circles touch each other externally.

∴

By theorem of touching circles,

\begin{matrix} P - Q - R P R = P Q + Q R = 5.5 + 4.2 = 9.7 c m \end{matrix}

[The distance between the centres of the circles touching externally is equal to the sum of their radii]

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If radii of two circles are 4 cm and 2.8 cm which touches externally, then find the distance between their centres.

Circles touching externally: Distance = 4+2.8 = 6.8 cm

If radii of two circles are $4 c m$ and $2.8 c m$ which touches externally, then find the distance between their centres.

Circles touching externally:

Distance = 4+2.8 = 6.8 cm