Question

Three circles A, B, and C are tangent externally to each other and each tangent internally to the largest circle having a radius of 10cm. The radius of circle A is 5cm and circles B and C are identical.

1.) Compute the distance from the center of the larger circle to the point of tangency of the two circles B and C.
2.) Compute the radius of the other two circles.
3.) Determine the area enclosed by the point of tangency of the three inner circles.

Answer 1

these 3 are tangent externally to each other... not sure how you can have circles that are tangent externally and internally simultaneously tho...?

Answer 2

there's a theorem that if two circles are mutually tangent , hen the distance between their centres is the addition of their radii
so we get the distance between the centres of the smaller and the larger circle=15cm
next,
the distance of the centre of the smaller circle from the point of tangency of the other circle is its radius=5cm and it is perpendicular to the distance between the centre of the larger circle and the point of tangency
so by pythagoras theorem,
(distance)^2=15^2+5^2
therefore you may get the distance=(250)^1/2
this is not an answer to any of the questions aabove but just an example of how to find the distance between these kind of points
hope this is helpful
if you don't get it, please let me know:)

Answer 3

the above figure is the one my instructor drew...

Answer 4

The distance says between any two circles of 3 coplanar circles that are externally tangent to each other are 20, 24, 28 cm .
Can you give …

Answer 5

Can anyone give the figure of this :