A circular arc of length 9 feet subtends a central angle of 25 degrees. Find the radius of the circle in feet.
2006-10-10 06:24:13 · 5 answers · asked by pnoiz1 2 in Science & Mathematics ➔ Mathematics
Pi can be included in the answer.
2006-10-10 06:28:02 · update #1
324/(5π) feet
which is approximately 20.63 feet.
2006-10-10 07:23:41 · answer #1 · answered by Melody 3 · 0⤊ 0⤋
2*Pi*R is the total arc length in a circle, if you take a 25 degree central angle, the arc length across it would be 25/360 of the total. So you have
2*Pi*R*25/360=9.
If you solve this you get
R=324/(5*Pi).
2006-10-10 13:34:46 · answer #2 · answered by firat c 4 · 0⤊ 0⤋
Arc=radius*angle in radians
Pi radians=180Deg
25Deg=pi*25/180=.436 radians
radius=9/.436
=20.64 feet
2006-10-10 13:34:20 · answer #3 · answered by openpsychy 6 · 0⤊ 0⤋
25 deg.= 9 ft
1 deg. = 0.36 ft
360 deg = 129.6 ft = 2r (pi)
r = 20.6ft
2006-10-10 13:35:50 · answer #4 · answered by rocketman9070 5 · 0⤊ 0⤋
8.75 feet
2006-10-10 13:26:18 · answer #5 · answered by god knows and sees else Yahoo 6 · 0⤊ 0⤋