In a circle, a chord is 8 cm long and is 3 cm away from the center. Find the radius of the circle.

Tue, 05 May 2026 10:44:15 +0000

**In a circle, a chord is 8 cm long and is 3 cm away from the center. Find the radius of the circle.** Why are more people asking how to calculate a circle’s radius using real-world spatial clues? This geometry question isn’t just academic—it surfaces in fitness trackers, interior design trends, and tech interfaces where precision shaping matters. Understanding the relationship between a chord, its distance from the center, and the full radius offers surprising clarity in both everyday problem-solving and digital design. It’s a subtle but powerful concept shaping how we build and interact with everything from smartphone apps to dance floor layouts. The geometry behind this problem is simple yet foundational. A chord is any straight line connecting two points on a circle’s edge. When a chord is 8 cm long and sits 3 cm from the center, it creates a predictable layout rooted in the Pythagorean theorem. Think of the circle’s center as a pivot—drawing a perpendicular to the chord splits it in half, forming two right triangles. Each half-section measures 4 cm (half of 8 cm), and the distance from the center to the chord remains 3 cm. The radius becomes the hypotenuse of this triangle. Using the Pythagorean theorem: