Question

Select the correct answer. Circle O has radius of 24 units. Arc XY located on the circle has a central angle of 75. What is the area of the associated sector, in square units?

Answer 1

To find the area of the associated sector, use the formula: Area = (central angle/360) x πr². Substituting the values given, the area is 120.7392 square units.

Step-by-step explanation:

To find the area of the associated sector, we need to use the formula:

Area = (central angle/360) × πr²

1. Given that the central angle is 75 degrees and the radius is 24 units, we can substitute these values into the formula.
2. Area = (75/360) × π(24)²
3. Area = 0.2083 × π(576)
4. Area = 120.7392 square units

Therefore, the area of the associated sector is 120.7392 square units.