Question

The length of AB (the minor arc) is
10 cm. What is the circumference of o C?

Answer 1

120 cm

Explanation:

To solve this problem, we can use the equation:

(length of arc) / (circumference of circle) = (degrees in arc) / (degrees in circle)

In this equation, we only have one unknown, circumference of circle. So, if we plug in the values we do know, we can find the circumference of circle C.

(length of arc) / (circumference of circle) = (degrees in arc) / (degrees in circle)

length of arc = 10

circumference of circle = x

degrees in arc = 30°

degrees in circle ALWAYS equals 360°

`(10)/(x)=(30)/(360) \\`

30x = 3600

x = 120

So, the circumference of the circle is 120 cm.

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