BMAD 65 Posted May 25, 2013 Report Share Posted May 25, 2013 If three circles are mutually tangent where one has a radius of 3cm, another has a radius of 4cm, and the last has a radius of 5cm. What is the area of the region bounded between the three circles? 1 1 Quote Link to post Share on other sites

0 Solution TimeSpaceLightForce 12 Posted May 27, 2013 Solution Report Share Posted May 27, 2013 (edited) triangle 7,8,9 w/ height: 7.6665 angles: 73.39798, 58.41164, 48.19038 deg sectors areas:5.7647, 8.1535, 10.5135 Edited May 27, 2013 by TimeSpaceLightForce Quote Link to post Share on other sites

0 TimeSpaceLightForce 12 Posted May 26, 2013 Report Share Posted May 26, 2013 Triangle formed by centers: sides: 7 , 8, 9 angles:73,58,48 (using laws) Area: 26.8328 (Heron's) Sector areas of circles: 3cm: pi3x3x73/360=5.7334 4cm:pi4x4x58/360=8.0983 5cm:pi5x5x48/360=10.4720 Area of sectors=24.30371 Area between circles is 2.52909 area ( triangle -sectors) formed 1 1 Quote Link to post Share on other sites

0 dark_magician_92 4 Posted May 26, 2013 Report Share Posted May 26, 2013 2.01 approx. Quote Link to post Share on other sites

0 BMAD 65 Posted May 26, 2013 Author Report Share Posted May 26, 2013 Triangle formed by centers: sides: 7 , 8, 9 angles:73,58,48 (using laws) Area: 26.8328 (Heron's) Sector areas of circles: 3cm: pi3x3x73/360=5.7334 4cm:pi4x4x58/360=8.0983 5cm:pi5x5x48/360=10.4720 Area of sectors=24.30371 Area between circles is 2.52909 area ( triangle -sectors) formed My answer is most like yours but my sector areas were different (for the 4cm and 5cm circles). Quote Link to post Share on other sites

## Question

## BMAD 65

If three circles are mutually tangent where one has a radius of 3cm, another has a radius of 4cm, and the last has a radius of 5cm. What is the area of the region bounded between the three circles?

## Link to post

## Share on other sites

## 4 answers to this question

## Recommended Posts

## Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.