How do you find the area of a green sector when the measure of angle A is 6 degrees and the radius of the circle is 10 inches?

by

Finding the Area of a Sector

To find the area of a sector of a circle, we can use the following formula:

Area of Sector = (θ / 360) × π × r²

Where:

  • θ = angle of the sector in degrees
  • r = radius of the circle

In this case, we have:

  • θ = 6 degrees
  • r = 10 inches

Now, plug these values into the formula:

Area of Sector = (6 / 360) × π × (10)²

Calculating the area further, we start with:

Area of Sector = (6 / 360) × π × 100

Next, simplify the fraction:

Area of Sector = (1 / 60) × π × 100

This simplifies to:

Area of Sector = (100 / 60) × π

Reducing the fraction gives us:

Area of Sector = (5 / 3) × π

Finally, using approximately 3.14 for π:

Area of Sector ≈ (5 / 3) × 3.14 ≈ 5.23667

Thus, the area of the green sector is approximately 5.24 square inches.

Leave a Comment