Question

Two circles touch each other externally.Their diameters are 8 cm and 6 cm respectively.find the distance between their centers

Answer 1

Two circles touch each other externally.Their diameters are 8 cm and 6 cm respectively. Find the distance between their centers.

Answer : 7 cm.

Step by step explanation :

Refer the given attachment for the figure.

Here,

Given that :

Diameter of First circle = 8 cm.

Diameter of second circle = 6 cm.

Thus,

Radius of first circle = AE = 4 cm.

Radius of second circle = EC = 3 cm.

Now,

We know that,

If two circles touch each other externally, distance between their centres is equal to the sum of their radii.

This means that :

AE + EC = Distance between their centres

AE + EC = 4 + 3 = 7 cm.

Thus, Distance between their centres is 7 cm.

______________________

Answer 2

$\underline{\mathfrak{\huge{The\:Question:}}}$

Two circles touch each other externally. Their diameters are 8 cm and 6 cm respectively. Find the distance between their centers.

$\underline{\mathfrak{\huge{Your\:Answer:}}}$

To find the distance between the centres of the two externally touching circles, we need to find out the measure of each of their radius.

Let the radius of the bigger circle be = R

And, let the radius of the smaller circle be = r

So, we know that, the radius of a circle is half of the length of its diameter, which means :-

$\tt{Radius = \frac{Diameter}{2}}$

So, we are given with the diameters of the two circles :-

D = 8 cm
d = 6 cm

R = $\tt{\frac{8}{2}}$

$\boxed{\tt{R = 4 cm}}$

r = $\tt{\frac{6}{2}}$

$\boxed{\tt{r = 3 cm}}$

The distance between their centres = R + r

=》 4 cm + 3 cm

=》 $\boxed{\bold{7 cm}}$