What is the area of a sector of a circle with an arc measure of 45 degrees and a radius of 4?

The area of a sector of a circle can be found using the formula:
A = (θ / 360) * π * r²
Given that the arc measure is 45 degrees, the radius is 4, and π is approximately 3.14, we can substitute these values into the formula to find the area of the sector:
A = (45 / 360) * 3.14 * 4² = 0.125 * 3.14 * 16 = 0.5 * 3.14 * 16 = 6.28
Therefore, the area of the sector is 6.28 square units.

Answered by MarlonBrando | 2024-06-24

The area of a sector of the circle with an arc measure of 45 degrees and a radius of 4 is approximately 6.28 square units. This is calculated using the formula for the area of a sector based on the angle and radius. By substituting the given values into the formula, we find that the area is 6.28 square units.
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Answered by MarlonBrando | 2024-09-26