The correct answer is option A. area of the first sector is π * 8^2 * (30/360) = 16.76 sqr has the greatest area among all.
How do you define a sector of a circle?
A sector is stated to be a part of a circle made of the arc of the circle along with its two radii. it's miles a part of the circle formed by a portion of the circumference (arc) and radii of the circle at both endpoints of the arc. The form of a sector of a circle can be compared with a slice of pizza or a pie.
The area of a sector is equal to π[tex]r^{2}[/tex]θ/360
area of the first sector is π * 8^2 * (30/360) = 16.76 sqr
area of the 2nd sector is π * 5^2 * (60/360) = 13.1 sqr
area of the 3rd sector is π * 6^2 * (45/360) = 14.1 sqr
area of the 4th sector is π * 4^2 * (90/360) = 12.57 sqr
Conclusion: To calculate the area of a sector of a circle we have to multiply the central angle by the radius squared, and divide it by using 2. area of a sector of a circle = (θ × r2 )/2 where θ is measured in radians. The formula can also be represented as sector area = (θ/360°) × πr2, where θ is measured in degrees.
learn more about the area of a sector here https://brainly.com/question/22972014
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