High School

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Arc Length:

Susie is decorating the rim of a circular cake with a ribbon. The cake has a radius of 8 inches. If Susie wants the ribbon to cover an arc of 90 degrees on the cake, what is the length of the ribbon she needs?

Answer :

Susie needs approximately 12.57 inches of ribbon.

To find the length of the ribbon Susie needs, follow these steps:

1. Calculate the circumference of the cake:

- Circumference = 2 * π * radius

- Circumference = 2 * π * 8 inches

- Circumference ≈ 50.265 inches

2. Convert the arc angle to a fraction of the circle:

- 90 degrees / 360 degrees = 1/4 circumference

3. Find the length of the desired arc:

- Arc length = Fraction of circumference * Total circumference

- Arc length = 1/4 * 50.265 inches

- Arc length ≈ 12.566 inches

Therefore, Susie needs approximately 12.57 inches of ribbon.

Q-Arc length: susie is decorating rim of a circular cake with a ribbon. the cake has a radius of 8 inches. if susie wants the ribbon to cover an arc of 90 degrees on the cake, what is the length of the ribbon she needs?

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