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 9π/5 radians.
What is the arc length?
Use 3.14 for π and round your final answer to the nearest hundredth.
Make sure to show your calculations.
+36916 Circumference = pi * d = pi * 2r = 12pi cm
there are 2pi radians in a complete circle of which this Q is seekong a fraction
5.4 / 12 pi = ?/(2 pi) ? = .9 radians
+33615 By definition the angle in radians is simply the arc length divided by the radius.
+36916 There are 2 pi radians in a complete circle
pi x 2r = circumference
pi x 2 x 26.9 =169 cm
fraction of this circumference intercepted by this central angle
?/169 = 9pi/5 / 2pi
?= 152.1 m
