Friday

April 18, 2014

April 18, 2014

Posted by **paragon** on Thursday, January 17, 2008 at 8:38pm.

Please show work. Thank you very much.

- math-geometry -
**Damon**, Thursday, January 17, 2008 at 9:14pmr + R = 40

so

r = 40 - R

pi r^2 = k pi

so

k = r^2

right triangles from center to middle of chord

r^2 - 6^2 = R^2 - 18^2

R^2 -r^2 = 324-36 = 288

so we have two equations

R = 40 - r

R^2 -r^2 = 288

then

(40-r)^2 -r^2 = 288

1600 -80 r +r^2-r^2 = 288

80 r = 1312

r = 16.4

r^2 = 268.96

but k = r^2 = 268.96

**Related Questions**

GEOMETRY(CIRCLE) - Three circles with different radii have their centers on a ...

Math - (Two concentric circles are shown)The smaller circle's circumference is ...

Please help with circle tangents geometry - Two circles of different sizes are ...

math...2 word problems - Two questions: (1) In a class every boy is friends with...

MATH HELP PLEASE - You are given two different circles. The diameter of the ...

can xome1 help me plzz im stuck - HELP PLZZ...A circle has radius 2 cm,(in that ...

geometry - How are the radii of 2 two concentric circles related to the distance...

GEOMETRY CIRCLES PLEASE - 1.An isosceles triangle with each leg measuring 13 cm ...

Maths - The radii of three concentric circles are 2cm, 3cm and 4cm Find the ...

math - The larger circle has a radius that is 18 inches longer than the smaller ...