The length of Arc AB (minor arc) is 20 cm. What's the circumference of Circle C?
ABC is 10 degrees.
2007-02-22 05:07:32 · 10 answers · asked by JoAnna 2 in Science & Mathematics ➔ Mathematics
Let's make it like this:
The whole circumference is 360 degrees. You only have 10 degrees. That means, multiply by 36 to get the whole circumference.
20 * 36 = 720 cm
2007-02-22 05:16:14 · answer #1 · answered by F B 3 · 1⤊ 0⤋
The arc length is the radius times the included angle in radians;
20 =(10 deg*pi/180)r
r = 2*180/pi = 360 /Pi
circumference is 2 *pi *r
c= 360 *2 *Pi/Pi =720 cm
Hats off to F B!!!! he was not blinded by the trees
2007-02-22 09:38:55 · answer #2 · answered by bignose68 4 · 0⤊ 0⤋
The diameter of a circle is the gap around the widest area of the circle. that's 2 circumstances the radius, that's the gap from the midsection of the circle to the exterior. The circumference is the gap around the circle. The formulation for the circumference of a circle is two X pi X r. considering 2 X r = the diameter besides, the circumference of a circle is the diameter circumstances pi. Pi = 3 one million/7
2016-12-18 08:43:31 · answer #3 · answered by ? 3 · 0⤊ 0⤋
radius times angle in radians = arc length
So r (10pi/180) = 20
r = 20*18/pi =360/pi
Circumference = 2*pi *r = 2*pi *360/pi = 720 cm
2007-02-22 05:32:17 · answer #4 · answered by ironduke8159 7 · 0⤊ 0⤋
length of arc = radius x angle subtended
20 = r x pi/18
r = 360/pi
l = 2pir = 2*pi*360/pi = 720cm
2007-02-22 05:21:45 · answer #5 · answered by SS4 7 · 0⤊ 0⤋
you can compute this as a line integral through the unit scalar field along the path parameterized by:
x = r cos t and y = r sin t 0≤t≤2π
r is determined from the fact that 20cm = 10º(radians) *r
r = 360/π
2007-02-22 05:48:34 · answer #6 · answered by standard_air 2 · 0⤊ 0⤋
2 pi r
2007-02-22 05:11:33 · answer #7 · answered by hari prasad 5 · 0⤊ 0⤋
10 degrees → 20 cm
360 degrees → ?
Cross-multiply.
2007-02-22 05:10:59 · answer #8 · answered by Anonymous · 0⤊ 0⤋
theta (angle given) which is 10/360 degrees
*
pie*radius squared=20
pie*radius squared bit gives circumference
therefore
20/(10/360)=720
take pie as 3.142
2007-02-22 05:20:02 · answer #9 · answered by Anonymous · 0⤊ 0⤋
20 cm * (360deg/10deg)
=7200 cm
2007-02-22 05:17:01 · answer #10 · answered by math freak 3 · 0⤊ 0⤋