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What is the length of an arc of a circle with a radius of 4 cm and a central ang
What is the length of an arc of a circle with a radius of 4 cm and a central angle of 90 degrees? (2021)
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Practice Questions
1 question
Q1
What is the length of an arc of a circle with a radius of 4 cm and a central angle of 90 degrees? (2021)
2π cm
4π cm
π cm
8 cm
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Arc length = (θ/360) * 2πr = (90/360) * 2π * 4 = 2π cm.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the length of an arc of a circle with a radius of 4 cm and a central angle of 90 degrees? (2021)
Solution:
Arc length = (θ/360) * 2πr = (90/360) * 2π * 4 = 2π cm.
Steps: 7
Show Steps
Step 1: Identify the radius of the circle, which is given as 4 cm.
Step 2: Identify the central angle in degrees, which is given as 90 degrees.
Step 3: Use the formula for arc length: Arc length = (θ/360) * 2πr.
Step 4: Substitute the values into the formula: Arc length = (90/360) * 2π * 4.
Step 5: Simplify the fraction 90/360 to get 1/4.
Step 6: Calculate the arc length: Arc length = (1/4) * 2π * 4.
Step 7: Multiply: Arc length = 2π cm.
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