1. What is the measure in radians for the central angle of a circle whose radius is 6 cm and intercept arc length is 5.4 cm?

Make sure to show all calculations.

2. In a circle with a radius of 26.9 m, an arc is intercepted by a central angle of 9π59π5 radians.

What is the arc length?

Use 3.14 for ππ and round your final answer to the nearest hundredth.

Make sure to show your calculations

1.

find circumferece

c=2pir

c=2*6*pi=12pi

intercept is 5.4

2pi radians=all

part/whole=part/whole

5.4/12pi=x/2pi

times both sides by 12pi

5.4=6x

divide both sides by 6

0.9=x

answer is 0.9 radians

2.

assuming 9pi/5 radians

find circumference

c=2pir

c=2*26.9*pi

c=53.8pi

arc/circumference = (9pi/5) / 2pi

x / (53.8pi) = (9pi/5) / (2pi)

x / (53.8pi) = 18/5

times both sides by 53.8pi

x=608.46266 m

about x=608.46 m