Friday

August 28, 2015
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