Posted by **Liz** on Tuesday, December 10, 2013 at 9:46pm.

three circles are manually tangent externally. their centers form a triangle whose sides are of length 8, 9, 13. find the total area of the three circles

- Math. I really don't get this question -
**Steve**, Tuesday, December 10, 2013 at 11:24pm
If the radii of the circles are x,y,z then each side of the triangle is the sum of two of the radii. So,

x+y=8

x+z=9

y+z=13

(x,y,z) = (2,6,7)

Since the area of a circle is πr^2, the area of all of the circles is

π(2^2+6^2+7^2) = 89π

## Answer this Question

## Related Questions

- Trig - Three circles with radii of 4, 5, and 6 cm, respectively, are tangent to ...
- PLEASE HELP TANGENTS AND CIRCLES PROBLEM GEOMETRY - PLEASE HELP I REALLY NEED ...
- geometry - Three circles are externally tangent to one another. The radius of ...
- Haley - Three circles with radii 35cm, 50cm, and 65cm respectively are tangent ...
- Geometry/Trigonometry - Circles with centers (2,1) and (8,9) have radii 1 and 9...
- geometry - Two circles which are not congruent touch externally. the sum of ...
- GEOMETRY CIRCLES PLEASE - 1.An isosceles triangle with each leg measuring 13 cm ...
- GEOMETRY(CIRCLE) - Three circles with different radii have their centers on a ...
- trig - Two circles of radii 5 and 3 cm, respectively, intersect at two points. ...
- MATH - Three circles, each with a radius of 10, are mutually tangent to each ...

More Related Questions