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Circle O is shown. Line segments B O and O C are radii. Point A is on the circle and is not within angle B O C.

The measure of Arc B A C is 240. What is the ratio of the measure of the major arc to the measure of the minor arc?
3:1
1:3
2:1
1:2

Respuesta :

The ratio of major to minor arc = 2 : 1

What is a Circle?

A circle is the locus of a point such that its distance from a fixed point (center) is always constant.

Calculation

The length of an arc (L) with center angle θ is given by:

                                          L = (θ/360) * 2πr

where r is the radius.

Putting the values in the above formula.

For the major arc:

L = (240/360) * 2πr

For the major arc:

l = ((360-240)/360) * 2πr

l = (120/360) * 2πr

The ratio of major to minor arc = [(240/360) * 2πr] / [(120/360) *2πr] = 2 : 1

The ratio of major to minor arc = 2 : 1.

Learn more about the circle here:

https://brainly.com/question/15125799

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