This document discusses how to use radian measure in circles. It explains that when the central angle is 1 radian, the arc length is equal to the radius. It asks how the radius and arc length change when the central angle increases. It then provides examples of using the relationships between central angle, arc length, and radius to solve for unknown values.

1. Aim: How do we use radian measure? MB43 10/31/08 Lomas Do Now: HW Review: 1, 15, 17, 27 Convert 36 o to radians Convert 2π/3 to degrees HW: Read 661-666 Do 667 #32-37,39-41

2. Aim: How do we use radian measure? MB43 10/31/08 Lomas r s θ We saw yesterday that the arc length, radius, and radian measure are all related θ has a measure of 1 radian when r = s What would happen to r and s if θ was made bigger? HW: Read 661-666 Do 667 #32-37,39-41

3. Aim: How do we use radian measure? MB43 10/31/08 Lomas θ = and s = r θ s r r s θ HW: Read 661-666 Do 667 #32-37,39-41

4. Aim: How do we use radian measure? MB43 10/31/08 Lomas In a circle with a radius of 4 centimeters, what is the length of the arc intercepted by a central angle whose measure is 1.5 radians? HW: Read 661-666 Do 667 #32-37,39-41

5. Aim: How do we use radian measure? MB43 10/31/08 Lomas s = 12, r = 4, find θ θ = 4, r = 1.25, find s s = 15, θ = 4, find r HW: Read 661-666 Do 667 #32-37,39-41

6. Aim: How do we use radian measure? MB43 10/31/08 Lomas s = 10, r = 3, find θ θ = 18.4, r = 3.7, find s s = 13, θ = 4.5, find r HW: Read 661-666 Do 667 #32-37,39-41

7. Aim: How do we use radian measure? MB43 10/31/08 Lomas HW: Read 661-666 Do 667 #32-37,39-41