What is the length of an arc of a circle with a radius of 6 cm and a central ang

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Question: What is the length of an arc of a circle with a radius of 6 cm and a central angle of 60 degrees? (Use π = 3.14) (2020)

Options:

Correct Answer: 6.28 cm

Exam Year: 2020

Solution:

Arc length = (θ/360) * 2πr = (60/360) * 2 * 3.14 * 6 cm = 6.28 cm.

What is the length of an arc of a circle with a radius of 6 cm and a central angle of 60 degrees? (Use π = 3.14) (2020)

What is the length of an arc of a circle with a radius of 6 cm and a central angle of 60 degrees? (Use π = 3.14) (2020)

Step 1: Identify the radius of the circle, which is given as 6 cm.
Step 2: Identify the central angle in degrees, which is given as 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 * 3.14 * 6.
Step 5: Simplify the fraction 60/360 to get 1/6.
Step 6: Calculate 2 * 3.14 * 6, which equals 37.68.
Step 7: Multiply 1/6 by 37.68 to find the arc length: Arc length = 37.68 / 6 = 6.28 cm.

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