Answer: radius of the circle is approximately 2.5 inches
Explanation:
The circle is illustrated in the diagram on the attached photo. The length of the arc is the distance on the circumference of the circle made by the central angle. The formula for determining the length of an arc is
Length of arc = #/360 × 2πr
Where
# is the angle at the center of the circle that forms the arc.
π is a constant given as 3.14
r is the radius of the circle.
We want to determine r
From the information provided,
the length of the arc is already given as 8 inches.
# = 180 degrees
Therefore,
8 = 180/360 × 2 × 3.14 × r
8 = 1/2 × 2 × 3.14 × r
8 = 3.14r
r = 8/3.14 =2.5478
Approximately 2.5 inches rounded up to one decimal place