Multiple choice

The bakery of a small Indiana town has just made a huge strawberry shortcake for the opening of the summer festival. The cake has a radius of 0.5 m. A ladybug lands on the cake and walks around the edge for a distance of 80 cm. What is the angular displacement of the ladybug?

  1. 1.6 radians

  2. 16 degrees

  3. 0.16 radians

  4. 1.6 degrees
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A Correct answer
Explanation

Angular displacement theta = arc length s / radius r. s = 80 cm = 0.8 m. r = 0.5 m. theta = 0.8 / 0.5 = 1.6 radians.

AI explanation

The relationship between linear distance, radius, and angular displacement is given by the formula angle equals arc length divided by radius. The radius is given as 0.5 m, and the distance walked by the ladybug is 80 cm, which converts to 0.8 m. Dividing 0.8 m by 0.5 m gives an angular displacement of 1.6 radians.

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