Ask Question
25 April, 09:31

The arc length of an arc subtended by an angle measuring 11π/18 radians is 78.6 inches.

What is the radius of the arc?

approximately 36.5 inches

approximately 40.9 inches

approximately 48.0 inches

approximately 128.6 inches

+5
Answers (1)
  1. 25 April, 09:42
    0
    Answer: approximately 40.9 inches

    Step-by-step explanation:

    The formula for determining the length of an arc is expressed as

    Length of arc = θ/360 * 2πr

    Where

    θ represents the central angle.

    r represents the radius of the circle.

    π is a constant whose value is 3.14

    From the information given,

    θ = 11π/18

    2π = 360 degrees

    π = 360/2 = 180

    Therefore,

    θ = 11 * 180/18 = 110 degrees

    Length of arc = 78.6 inches

    Therefore,

    78.6 = 110/360 * 2 * 3.14 * r

    78.6 = 1.919r

    r = 78.6/1.918888

    r = 40.9 inches
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “The arc length of an arc subtended by an angle measuring 11π/18 radians is 78.6 inches. What is the radius of the arc? approximately 36.5 ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers