What is the length of an arc of a circle with radius 5 cm and angle 60 degrees?

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Question: What is the length of an arc of a circle with radius 5 cm and angle 60 degrees? (2020)

Options:

Correct Answer: 5.24 cm

Solution:

Arc length = (θ/360) * 2πr = (60/360) * 2 * π * 5 = 5.24 cm.

What is the length of an arc of a circle with radius 5 cm and angle 60 degrees? (2020)

What is the length of an arc of a circle with radius 5 cm and angle 60 degrees? (2020)

Step 1: Identify the radius of the circle. In this case, the radius (r) is 5 cm.
Step 2: Identify the angle in degrees. Here, the 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 * 5.
Step 5: Simplify the fraction 60/360 to get 1/6.
Step 6: Calculate 2 * π * 5, which equals 10π.
Step 7: Now multiply (1/6) by 10π to find the arc length: Arc length = (1/6) * 10π.
Step 8: Calculate the final value: Arc length ≈ 5.24 cm (using π ≈ 3.14).

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