The circle below has center O and it’s radius is 8 m. Given the m< AOB=120°, find the length of the arc ADB and the area of the shaded region

Given:

Given that the circle has a center O.

The radius of the circle is 8 m.

The measure of ∠AOB is 120°

We need to determine the area of the shaded region and the length of the arc ADB.

Measure of ∠ADB:

The measure of ∠ADB is given by

Substituting the values, we have;

Thus, the measure of ∠ADB is 240°

Area of the shaded region:

The area of the shaded region can be determined using the formula,

Thus, the area of the shaded region is 42.67π m²

Length of arc ADB:

The length of arc ADB can be determined using the formula,

Thus, the arc length of ADB is 10.67π m

water molecules will move from the side of higher water concentration to the side of lower concentration until both solutions are isotonic. at this point, equilibrium is reached. in an isotonic solution, the flow of water in and out of the cell is happening at the same rate.

hope this < 3

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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