Given the measure of an arc, find the degree measure to the nearest tenth of the central angle it subtends in a circle of radius 16 cm.
17. 87
18. 5.7
21. 10.24
2007-10-18 10:38:57 · 2 answers · asked by Zoology 1 in Science & Mathematics ➔ Mathematics
Forgot Teacher gave me formulas for types of problems for the degrees one's he gave me
S= Theta/180 * (Pi)(radius)
K= Theta/360 * (Pi)(r^2)
and for the Radian type of problems he gave me S= (radius)(Theta)
K(area)= 1/2(r^2)(theta)
K= 1/2 (r)(Sector)
2007-10-18 10:45:25 · update #1
Use the following ratio:
Arc length / Circumference = Angle / 360.
17. (87 / 32*pi) * 360 = 311.5
18. (5.7 / 32*pi) * 360 = 20.4
21. (10.24 / 32*pi) * 360 = 36.7
2007-10-18 10:46:47 · answer #1 · answered by Wesley M 3 · 0⤊ 0⤋
angle = length of arc / r
angle = .87/16 = 3.1 degrees
angle = 5.7/16 = 20.4 degrees
angle = 10.24/16 = 36.7 degrees
Note: degrees = radians *180/pi
2007-10-18 17:50:58 · answer #2 · answered by ironduke8159 7 · 0⤊ 0⤋