How do I find the radius of a sector formed on a circle of central angle 1/4 radians and area 6 square inches?

Question

campbell_st · Answer

well the area of the sector formula is 

$$A = \frac{\theta}{2} \times r^2$$

where theta is the sector angle.. 

so substituting you have 

$$6 = \frac{\frac{\pi}{4}}{2} \times r^2$$

just solve for r

anonymous · Answer

Okay, this is what I have right now: 6=1/2(2pie/4)(r^2)

campbell_st · Answer

oops my mistake the angle says 1/4 radians.... i read it as pi/4

so 

6 = 1/2 x 1/4 times r^2

so 

6 = 1/8 r^2

or 

r^2 = 48

solve for r...

anonymous · Answer

Okay if I did it correctly r is 4 root 3

campbell_st · Answer

yes that would be correct