Presentation on theme: "LG 4-4 Arc Length. Arc Length An arc of a circle is a segment of the circumference of the circle."— Presentation transcript:
LG 4-4 Arc Length
Arc Length An arc of a circle is a segment of the circumference of the circle.
Start at the point (1, 0) and walk around the circle a distance of radians. We will arrive at a point. The distance traveled, t, is shown in red. At the right of the circle is a red line segment that ends in a blue point that is exactly the same length as the red arc ending in the blue point. What is the distance that we walked?
Arc length of a circle in radians In the Unit Circle, the arc length = theta(in radians). Why?
Find the length of the arc formed by theta: 1.How long is the arc subtended by an angle of radians on a circle of radius 20 cm? 2.How long is the arc subtended by an angle of radians on a circle of radius 5 cm? Find the radian measure for the following: 1.In a circle of radius 15 inches an angle intercepts an arc of 32 inches?
Bonus Given a clock with minute hand 6 cm long how far does the tip of the hand move from 12:05 to 12:20?