hi can someone plz help me solve this? i have my math exam in 2 hourS and cannot find the answer anywher ...... A sector of a circle of radius 12 miles has an area of 72 square miles.
Find the central angle of this sector in degrees.

Question

hi can someone plz help me solve this? i have my math exam in 2 hourS and cannot find the answer anywher ......  A sector of a circle of radius 12 miles has an area of 72 square miles.
Find the central angle of this sector in degrees.

anonymous · Answer

$$\frac{x}{72}=\frac{2\pi}{144\pi}$$

sabrina1 · Answer

so i  just solve for x for the angle?

anonymous · Answer

yes

anonymous · Answer

the formula for the area of a sector is as follows:

$$(\Theta \div360)\times \pi(r)^{?}$$

so substituting the values would give 

(Theta/360) x pi(12)^2 = 72

so (Theta/360) = 72/(pi(12)^2)

therefore

$$\theta = (72/\pi(12)^{2})\times360$$

gives you something like 57.3 degs

sabrina1 · Answer

thanks really appreciate it :)