Difficulty: Multiple choice questionA circle has a radius of 8cm. What is the length of an arc with a central angle of 80∘? 80180×𝜋×8cm 802𝜋×8cm 80360×𝜋×8cm
Question
Difficulty: Multiple choice questionA circle has a radius of 8cm. What is the length of an arc with a central angle of 80∘? 80180×𝜋×8cm 802𝜋×8cm 80360×𝜋×8cm
Solution
The length of an arc can be calculated using the formula:
Arc length = (central angle/360) * 2πr
where:
- the central angle is given in degrees,
- r is the radius of the circle,
- π is a mathematical constant whose approximate value is 3.14159.
Given:
- central angle = 80 degrees,
- radius (r) = 8 cm.
Substituting these values into the formula, we get:
Arc length = (80/360) * 2π * 8
Solving this equation will give us the length of the arc.
So, the correct answer is 80360×𝜋×8cm.
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