Help me please its urgent I need it done asap I need help if anyone could help me solve these problems that would be very helpful! (I'll give brainliest if you can solve all of them!) A company designs a circular dartboard such that the target area in the center is surrounded by a safety margin. Federal law requires that the area of the safety margin must be twice the area of the actual target in the center. If the total radius of the dartboard is 3 feet, what is the radius of the circular target in the center? (you must show the algebra for full credit)

Respuesta :

Answer:

the radius of the circular target in the center is 2.12 feet

Step-by-step explanation:

the total area of the dartboard is

π x r² = π x 3² = 9π  (28.27 ft²)

The area of the actual target in the center needs to be half of the dartboard (4.5 π)  (14.14 ft²)

(Small area :  4.5π =  π x r²

                      Divide both sides by  π

        4.5 = r²

       √4.5 = r

      r= 2.12132034.......  (2.12 feet)