Answer :
Final answer:
An arc of a circle having measure 36° has lenght 176 cm, this case, the circumference of the circle is 1760 cm.
Explanation:
To find the circumference of a circle, we can use the formula C = 2Ï€r
where
C is the circumference
r is the radius of the circle.
In this case, we are given the measure of an arc of the circle, which is 36° and the length of the arc, which is 176 cm.
First, we need to find the radius of the circle using the formula:
Length of arc = (θ/360) × 2πr
Substituting the given values, we get:
176 = (36/360) × 2πr
176 = 0.1 × 2πr
176 = 0.2Ï€r
r = 176 / 0.2Ï€
r = 880 / π
Now, we can substitute the value of r in the formula for circumference to find the answer:
C = 2π × (880 / π)
Using the value of π as approximately 3.14, we get:
C = 2 × 3.14 × (880 / 3.14)
C = 6.28 × 280
C = 1760 cm
So therefore, the circumference of the circle is 1760 cm.
Learn more about the topic of circumference here:
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