This question is not correctly written
Correct Question
A sector whose central angle measures 120° has an area of 12 square inches. What is the radius of the circle?
Answer:
Radius of the circle = 3.3851375013 inches
Approximately to one decimal place, radius of the circle = 3.4 inches
Step-by-step explanation:
The formula for the area of a sector is given as:
Area of a sector = θ × π/360 × r²
θ = Central angle in degrees = 120°
Area of a sector = 12 in²
12 = (120° × π)/360 × r²
r² = 12 ÷(120° × π)/360
r² = 12 ÷ 1.0471975512
r² = 11.459178217
r = √11.459178217
r = 3.3851375013 inches
Approximately to one decimal place, radius of the circle = 3.4 inches
