SOLUTION: Length of a chord What is the length of a chord intercepted by a central angle of 19 degrees in a circle of radius 30ft? Round to the nearest hundredth of a foot.

Algebra ->  Triangles -> SOLUTION: Length of a chord What is the length of a chord intercepted by a central angle of 19 degrees in a circle of radius 30ft? Round to the nearest hundredth of a foot.       Log On


   

Question 964317: Length of a chord
What is the length of a chord intercepted by a central angle of 19 degrees in a circle of radius 30ft? Round to the nearest hundredth of a foot.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
Circumference=(pi)(diameter)
The fraction of the circumference is given by 19degrees/360degrees,
so length (L) of the chord is:
L=%2819%2F360%29%2860ft%29%28pi%29
L=%2819%2F6%29%28pi%29
L=9.95+feet
ANSWER: The length of the chord is 9.95 feet.