how to find the radius from the circumference

How to Find the Radius of a Circle With the Expanse in 3 Simple Ways

If you want to know how to find the radius of a circle with the area, y'all accept to know the formula for the area of a circle. You must also familiarize yourself with concepts such as the circumference, sector, and diameter of a circle. To get started, allow'southward define what the radius is.

What Is the Radius of a Circle?

The lowercase r in the eye of the circumvolve below represents its radius.

As y'all can run into, the radius of the circle is marked by a line segment that goes from the edge of the circumvolve to the center of the circle. If you were to depict a line from the elevation of the circle to the bottom intersecting the radius, you would form a semicircle:

Diameter and Circumference of a Circle

The circumvolve to a higher place displays circumference and diameter. The circumference of the circumvolve is the altitude around the edge of the whole circle. The diameter of the circumvolve is the length from one finish of the circle to the other, passing through the heart of the circle. Because the line segment of the bore intersects the middle of a circle, diameters are ever twice the length of the radius.

Sector of a Circle

The shaded area of the circle below shows a sector, which is a sliced off department of a circumvolve:

The inner line segments of the sector both equal the radius of the circle. The angle that these two measurements make is called a central angle.

How to Observe the Radius of a Circumvolve With the Surface area and Circumference Formulas

When the radius is unknown, you tin can use a circumference, surface area of a circle, or area of a sector formula to determine its length:

Permit'southward use these formulas to solve for the radius of three different circles, starting with the surface area of a circumvolve formula.

Let's take the foursquare root of a circle with a given surface area of 12 and divided past pi to determine the radius:

Now, let's decide the radius of a circle with a sector bending measurement of 24° and an surface area of lx using the area of a sector formula:

Finally, let'southward determine this radius of a with a circumference of 16:

Now Y'all Know How to Detect the Radius of a Circle With the Area

Finding the radius of a circle requires you to use formulas such as the area or sector area of a circumvolve formulas. Yous can also use the diameter (the length from one end of a circumvolve to the other) and the circumference (the length around the outside of a circle) to find the missing length of a radius.

More Math Homework Help

• How to Round to One Decimal Place: Your Step-by-Step Guide
• How Does the Surface Area Definition Apply to 3D Objects?
• How Do You Discover the Surface area of a Quarter Circumvolve?

Source: https://tutorme.com/blog/post/how-to-find-the-radius-of-a-circle-with-the-area/

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