i have the circumference of a circle, which is 42 cm. and i have to find the length of Arc AB, which is 120 degrees.
how do i solve this?
2007-03-07 03:28:17 · 6 answers · asked by JoAnna 2 in Science & Mathematics ➔ Mathematics
length of arc
= (120/360)*circumference
= (1/3)*42
= 42/3
= 14cm
2007-03-07 03:35:14 · answer #1 · answered by ganesan 2 · 0⤊ 0⤋
the circumference of the circle is over 360 degrees.
so the arc is 120/360 = 1/3 of a circle.
therefore, the length of the arc is 42/3 = 14 cm.
2007-03-07 11:32:55 · answer #2 · answered by jaybee 4 · 0⤊ 0⤋
The arc is only a proportion: a 360 deg arc is the full circumference, a 180 deg arc is the middle, the formula is
length of arc = degrees/360 * circumference=120/360*42=14cm
2007-03-07 11:38:41 · answer #3 · answered by Anonymous · 0⤊ 0⤋
the total circle is 42 cm.
the total circle is 360 degrees while the are is 120 degrees
obviously the arc is 1/3 of the circle
1/3 of 42 is 14 cm.
2007-03-07 11:46:12 · answer #4 · answered by bignose68 4 · 0⤊ 0⤋
360° <------->42 cm
120° <-------> (120 / 360) x 42 cm = 1/3 x 42 cm = 14 cm
Length of arc AB = 14 cm
2007-03-07 11:46:22 · answer #5 · answered by Como 7 · 0⤊ 0⤋
120/360x42=14cm
2007-03-07 11:38:06 · answer #6 · answered by sleeping_beauty1976 2 · 0⤊ 0⤋