Mensuration

[maryelle]

please help me with this..

 

There are 3 noncongruent cirles

 

the distance between their centers are 21,23 and 25.. Find the area of the shaded region..

 

please d0 help me..

[timo]

I'd calculate the area of the triangle formed by the three centers, then substract the shares that the circles themselves contribute to that area.

[maryelle]

I already computed for the are of the triangle but i dont know how to compute for the shares of the triangle.. can you please do that for me?...

[timo]

Well, a circle has an area equal to [math] \pi r^2 [/math]. Hence, a section created by an angle [math]\alpha[/math] has an area equal to [math] \frac{\alpha}{360^\circ} \pi r^2 [/math]. So what you obviously need is the angles and the radii.

Generally, for homework questions, please provide your ideas of how to solve the problem, what you already tried out, what you think you already achieved, which step you have a problem with, why you think a certain idea will work or won't work, ... . As an example in this case: How did you compute the area of the triangle?