Question

http://is.byu.edu/courses/hs/GEOM-043-101/secure/imgs/math10-1747.gif
If TRS=135* and the area of the smaller sector is 73.5pi , calculate the diameter length of R.
a. 14
b. 28
c. 196
d. 196pi

Answer 1

135 degrees is 3/8 of 360....
so the area of that shaded region is 3/8 of the whole circle... OR
\(\large \frac{3}{8}\cdot Circle=Sector\rightarrow \)
\(\large Circle=\frac{8}{3}\cdot Sector=\frac{8}{3}\cdot 73.5\pi \)

this will give you the area of the circle...
you can get the diameter from the equation: Area = \(\large \pi r^2 \), where r is the radius and 2r = diameter.

Answer 2

Thanks dpaInc