Jabar goes to the playground to play on the swings. The length of each swing is 1.75 m.Jabar decides to swing higher. If the distance traveled on one swing is 3.5 m, what would be the central angle in degrees? Give your answer to the nearest degree.a.b.Incorrectc.d.
Question
Jabar goes to the playground to play on the swings. The length of each swing is 1.75 m.Jabar decides to swing higher. If the distance traveled on one swing is 3.5 m, what would be the central angle in degrees? Give your answer to the nearest degree.a.b.Incorrectc.d.
Solution
The central angle can be calculated using the formula for the circumference of a circle, which is C = 2πr, where r is the radius of the circle. In this case, the length of the swing is the radius of the circle, which is 1.75 m.
First, calculate the circumference of the circle using the given radius:
C = 2πr C = 2π(1.75 m) C = 11 m
Next, find out what fraction of the circle's circumference is covered by one swing. The distance traveled on one swing is 3.5 m, so the fraction of the circumference covered by one swing is 3.5 m / 11 m = 0.31818.
Finally, multiply this fraction by 360 degrees to find the central angle:
Central angle = 0.31818 * 360 degrees = 114.55 degrees
Rounding to the nearest degree, the central angle is approximately 115 degrees.
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