What is the arc length of a circle that has a 7-centimeter radius and a central angle that is 40 degrees? Use 3.14 for π and round your answer to the nearest hundredth.
circumference has the arc c=2pir r=7 c=2*7*pi c=14pi how much of the circle is the arc? full circle=360 degrees 40=arc 40/360=1/9 1/9 times 14pi=14pi/9=4.8844444444 hundreth 4.88 answer is 4.88 cm
Let S be arc length We know circumference = 2πr The total angle in degrees is 360 S / 2πr = Ф/360 Where Ф is given angle S = (40/360) * 2π(7) S = 4.89 centimeters