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

You need to sell atleast 49 kids tickets because you take 73 and multiply is by 7.50 and then take that number and subtract it from the total you need to make which is 790 and the amount you get from that you divide by 5 and you 48.5 but you can't sell to half a person so you round up to 49.