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.

Question

Mathematics

Cameron

30 August, 12:33

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.

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Answers (2)

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Averie David · Answer 1

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

Francis Stout · Answer 2

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