LG 4-4 Arc Length.

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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 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: How long is the arc subtended by an angle of radians on a circle of radius 20 cm? 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: 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?