What is the length of an arc of a circle with a radius of 10 cm and a central an

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Question: What is the length of an arc of a circle with a radius of 10 cm and a central angle of 60 degrees? (2021)

Options:

Correct Answer: 12.57 cm

Exam Year: 2021

Solution:

Arc length = (θ/360) * 2πr = (60/360) * 2 * 3.14 * 10 = 10.47 cm.

What is the length of an arc of a circle with a radius of 10 cm and a central angle of 60 degrees? (2021)

What is the length of an arc of a circle with a radius of 10 cm and a central angle of 60 degrees? (2021)

Step 1: Identify the radius of the circle. In this case, the radius (r) is 10 cm.
Step 2: Identify the central angle in degrees. Here, the central angle (θ) is 60 degrees.
Step 3: Use the formula for arc length: Arc length = (θ/360) * 2πr.
Step 4: Substitute the values into the formula: Arc length = (60/360) * 2 * π * 10.
Step 5: Simplify the fraction 60/360 to 1/6.
Step 6: Calculate 2 * π * 10, which is approximately 62.8 cm (using π ≈ 3.14).
Step 7: Multiply (1/6) by 62.8 cm to find the arc length: Arc length = 62.8 / 6.
Step 8: Perform the division: 62.8 / 6 = 10.47 cm.

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