A circle has a radius of 10 cm. If a sector of the circle has an angle of 120 degrees, what is the area of the sector?

Mon, 20 Apr 2026 12:39:22 +0000

**The Circle’s 120-Degree Secret: A Simple Guide to Sector Area** Curious about how shapes and angles open the door to practical math in everyday life? Take a circle with a radius of 10 centimeters. If you slice it with a 120-degree sector—about a third of a full turn—you’re unlocking a precise, real-world calculation relevant to design, manufacturing, and education. This sector isn’t just abstract geometry—it’s a foundation for understanding proportion, balance, and spatial reasoning. A circle with a 10 cm radius forms the starting point. Angles measured in degrees divide the full 360° circle, so a 120° sector represents a significant, visible piece of that whole. Whether modeling wheels, designing cutting patterns, or explaining fractions visually, this setup reveals how math underpins tangible outcomes. Understanding sector area builds confidence in tackling similar challenges across science, art, and industry. So why is a 120-degree sector of a 10 cm radius circle drawing attention today? The rise of visual learning and intuitive math education fuels interest in concepts that connect logic with real-world applications. Digital tools and search trends show growing demand for clear, reliable answers about geometry—not just formulas, but context and relevance. The straightforward formula for sector area connects directly to both foundational math skills and modern curiosity about how shapes influence design and precision.