Subject: Mathematics
Book: Maths Mastery
A circle sector is the “slice” formed by two radii and their intercepted arc. Its area formula is (θ/360°) × πr² if θ is in degrees, or (θ/2π) × πr² if θ is in radians. For example, if you have a 60° sector in a circle of radius 5 cm, the area is (60°/360°) × π × 5² = (1/6) × 25π = 25π/6 cm². Sector calculations aid in figuring out slice sizes for pizza, measuring angles in mechanical parts, or analyzing partial circular designs. Mastering the sector area formula extends your ability to handle specialized circular geometry problems.
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