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)