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.

Guest Feb 27, 2018

#1**+1 **

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

ElectricPavlov
Feb 27, 2018

#2**0 **

By definition the angle in radians is simply the arc length divided by the radius.

Alan
Feb 27, 2018

#3**+1 **

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

ElectricPavlov
Feb 27, 2018

edited by
Guest
Feb 27, 2018