Trig

Find the length of a chord intercepted by a central angle of 25 degrees in a circle of radius 30 feet

  1. 👍 0
  2. 👎 0
  3. 👁 568
  1. let the length of the chord be 2x ft
    Drop a perpendicular from the central vertex to the chord
    then sin 12.5 = x/30
    x = 30sin12.5
    2x = 60sin12.5 = 12.9864

    or by cosine law:
    let the length of the chord be c
    c^2 = 30^2 + 30^2 - 2(30)(30)cos25
    = 168.64598..
    c = 12.9864 , same as above

    1. 👍 0
    2. 👎 0
    posted by Reiny

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus

    Find the length of the intercepted arc with radius 2.5 cm and a central angle of 95 degrees

    asked by Bree on March 28, 2011
  2. Trigonometry

    FInd the arc length intercepted by a central angle of 46 degrees 24'6" in a circle with a radius of 35.62m

    asked by Mercaedees on December 12, 2007
  3. trig

    Find the length of the circular arc intercepted by a central angle of 20 degrees in a circle or radius 5cm

    asked by Anonymous on January 26, 2012
  4. pre calcalus

    a circle with 4 inch radius, find length of arc when intercepted by central angle of 240 degrees

    asked by gion on December 3, 2009
  5. trig

    find, to the nearest tenth of a meter, the length of the arc intercepted by a central angle of 160 degrees if a radius of the circle in 8 meters long

    asked by Scott on April 24, 2011
  6. Trigonometry

    Please show me the work so i understand 2. Find the reference angle of -11π/3. 5. If θ = –18°, find the exact value of θ in radians. 6.If θ = 3, find the value of θ in degrees correct to the nearest tenth of a degree.

    asked by AJ on December 12, 2012
  7. math

    Find the length of the arc on a circle of radius r intercepted by a central angle θ. (Round your answer to two decimal places.) Radius r: 20 feet Central Angle θ: π/4 Arc Length s: radians

    asked by Danny P. on June 4, 2018
  8. math

    A chord subtends an angle of 68 degrees at the center of a circle of radius 200mm.find the chord length.

    asked by brenda on June 21, 2016
  9. math

    A circular arc has measure 22ft and is intercepted by a central angle of 27 degrees . Find the radius of the circle.

    asked by mavis on October 5, 2012
  10. Math

    A circle has a radius of 8cm . Find the length s of the arc intercepted by a central angle of 110° .

    asked by Ange on September 9, 2016

More Similar Questions