Question

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

Answer 1

Answer:

2:1

Step-by-step explanation:

Edge 2020

Answer 2

The ratio of major to minor arc is 2 : 1

Circle

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

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

L = (θ/360) * 2πr

where r is the radius.

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

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