What is the radius of a circle with 5 cm?

Cracking the Circle Code: What’s the Radius When the Circumference is 5 cm?

Circles! They’re everywhere, right? From the tires on your car to the dinner plate in your cupboard. We kind of take them for granted, but understanding how they work, especially the relationship between their circumference and radius, is surprisingly useful. So, let’s say you’ve got a circle with a circumference of 5 cm. What’s the radius? Don’t worry, it’s not as scary as it sounds!

Circumference and Radius: A Love Story

Think of the circumference as the “belt” that goes all the way around the circle. The radius? That’s just the distance from the very center of the circle to any point on that edge. Imagine drawing a line from the middle of a pizza to the crust – that’s your radius. And the diameter? Well, that’s simply twice the radius – a line that cuts right through the center, from one side to the other.

Here’s the magic formula that ties circumference (C) and radius (r) together:

C = 2πr

That funny symbol, π (pi), is just a number – about 3.14159 – that represents the ratio of a circle’s circumference to its diameter. It’s a constant, meaning it’s the same for every circle, big or small. Pretty neat, huh?

Finding the Radius: A Piece of Cake

Okay, so we know the circumference is 5 cm. How do we find the radius? We just need to rearrange that formula a bit:

r = C / 2π

Let’s plug in the numbers:

So, there you have it! The radius of a circle with a circumference of 5 cm is roughly 0.796 cm.

Why Bother? Real-World Circles

Why should you care about this stuff? Well, it turns out this relationship is super important in a bunch of different fields:

• Engineering: When engineers design anything circular, from gears to pipes, they need to know these calculations inside and out.
• Construction: Ever wonder how builders make sure a circular building is perfectly round? Yep, they use these principles.
• Manufacturing: Making circular parts that fit together perfectly requires precise calculations of radius and circumference.

The Round Up

To recap, a circle with a circumference of 5 cm has a radius of approximately 0.796 cm. It all boils down to that fundamental connection between a circle’s circumference and its radius, all thanks to the magical number π. So, whether you’re a student sweating over geometry or a professional designing the next big thing, understanding this relationship is key. Now you can confidently say you’ve cracked the circle code!