Question

The circle graph shows the different vitamins present in a health drink. Identify the measure of arc AB. Please help!

Answer 1

Answer:

79.2° (First Option)

Step-by-step explanation:

To find mAB, recognize that the percents given for the pie chart can represent the percent area of the sector of the circle, the percent measure of the central angle that forms the sector, or the percent measure of the length of the arc.

The measure of an arc is equal to the measure of the central angle between the radii that form its endpoints. So, mAB=m∠AOB.

The measure of the central angle AOB that forms AB is 22 percent of the whole circle, or (0.22)360∘. So, mAB=0.22(360∘)=79.2∘

Therefore, the measure of arc AB

is 79.2∘.

Answer 2

The measure of the arc AB of a circle showing the different vitamins present in a health drink is 79.2 degrees.

Calculate the measure of arc

The measure of an arc is always equivalent to the measure of the central angle between the radii that form its endpoints.

How to find the measure of arc AB.

As the measure of an arc is always equivalent to the measure of the central angle between the radii that form its endpoints.

Thus $m\angle{AOB}=\widehat{AB}$.

First, find the measure of angle AOB.

Since the measure of angle AOB shows 22% of vitamins of the whole circle.

This means that the measure of angle AOB is 22% of 360 degrees.

Then we will get

$m\angle{AOB}=\dfrac{22}{100}\times 360^{\circ}\\m\angle{AOB}=79.2^{\circ}$

Here the measure of angle AOB  is 79.2 degrees.

And since $m\angle{AOB}=\widehat{AB}$.

Therefore the measure of arc AB is 79.2 degrees.

That means option A $79.2^{\circ}$ is correct option.

Learn more about the measure of arc here- https://brainly.com/question/12555201

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