Answer:
Explanation:
To solve this problem, you can use the formula:
length of arc = radius x central angle
We know the length of the arc is 10 inches, and the central angle measures 5π/7 radians. We can use algebra to solve for the radius "r":
10 = r x (5π/7)
To isolate "r," we can divide both sides of the equation by 5π/7:
r = 10 ÷ (5π/7)
To simplify this expression, we can multiply the top and bottom of the fraction by the reciprocal of 5π/7, which is 7/5π:
r = 10 x (7/5π)
r = 14/π
So the radius of the circle is 14/π inches (or approximately 4.45 inches, rounded to two decimal places).