The circumference of a circle is 45 m. What is the arc length of an arc of the circle that is 70°?
Question
The circumference of a circle is 45 m. What is the arc length of an arc of the circle that is 70°?
Solution
Step 1: Understand the problem The problem is asking for the length of an arc of a circle with a circumference of 45 m and an angle of 70°.
Step 2: Recall the formula for the length of an arc The formula for the length of an arc is (θ/360) * C, where θ is the angle of the arc in degrees and C is the circumference of the circle.
Step 3: Substitute the given values into the formula Substitute θ = 70° and C = 45 m into the formula to get (70/360) * 45.
Step 4: Calculate the result (70/360) * 45 = 8.75 m
So, the length of the arc is 8.75 m.
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