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LG 1-4 Arc Length

LG 1-4 Arc Length. Arc Length. An arc of a circle is a segment of the circumference of the circle.

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LG 1-4 Arc Length

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  1. LG 1-4 Arc Length

  2. Arc Length • An arc of a circle is a segment of the circumference of the circle.

  3. 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?

  4. Arc Length = Radians Radius = • Arc length of a circle in radians In the Unit Circle, the arc length = theta(in radians). Why?

  5. 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 5cm? Find the radian measure for the following: • In a circle of radius 15 inches an angle intercepts an arc of 32 inches?

  6. Find the radius for an angle measuring 1.71 radians intercepting an arc with length 12 in. Text your answer choice to me! • 7 in • 14 in • 4.47 in • 10 in

  7. Don’t forget: You can copy-paste this slide into other presentations, and move or resize the poll.

  8. Given a clock with minute hand 6 cm long how far does the tip of the hand move from 12:05 to 12:20? Practice Time!

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