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how to find the radius of a circle with the area

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

If yous want to know how to find the radius of a circle with the area, you have to know the formula for the area of a circumvolve. You must besides familiarize yourself with concepts such as the circumference, sector, and diameter of a circle. To get started, permit's define what the radius is.

What Is the Radius of a Circumvolve?

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

how to find the radius of a circle with the area: Diagram showing the radius of a circle

As yous tin see, the radius of the circle is marked by a line segment that goes from the edge of the circumvolve to the centre of the circle. If you were to depict a line from the top of the circle to the lesser intersecting the radius, you would grade a semicircle:

how to find the radius of a circle with the area: Diagram of a semicircle with a line from top to bottom intersecting the radius

Bore and Circumference of a Circle

how to find the radius of a circle with the area: Diagram showing the circumference and diameter of a circle

The circle above displays circumference and diameter. The circumference of the circle is the distance around the edge of the whole circle. The diameter of the circle is the length from ane finish of the circle to the other, passing through the center of the circumvolve. Because the line segment of the bore intersects the centre of a circle, diameters are ever twice the length of the radius.

Sector of a Circumvolve

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

how to find the radius of a circle with the area: Diagram of a circle with a shaded sector

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 bending.

How to Discover the Radius of a Circle With the Surface area and Circumference Formulas

When the radius is unknown, you lot can use a circumference, expanse of a circle, or area of a sector formula to make up one's mind its length:

how to find the radius of a circle with the area: Formula for finding the radius using the area of the circle

how to find the radius of a circle with the area: Formula for finding the radius of a circle using the area of a sector

how to find the radius of a circle with the area: Formula for finding the radius using the circumference of the circle

Let's employ these formulas to solve for the radius of three different circles, starting with the area of a circle formula.

Allow's take the square root of a circle with a given area of 12 and divided by pi to determine the radius:

how to find the radius of a circle with the area: Given area of the circle

how to find the radius of a circle with the area: Formula for finding the radius using the area of the circle

how to find the radius of a circle with the area: Formula for finding the radius using the area of the circle

how to find the radius of a circle with the area: Formula for finding the radius using the area of the circle

Now, let's determine the radius of a circumvolve with a sector angle measurement of 24° and an area of 60 using the area of a sector formula:

Angle of the sector

Area of the sector

Formula for finding the radius of a circle using the area of a sector

Formula for finding the radius of a circle using the area of a sector

Formula for finding the radius of a circle using the area of a sector

Formula for finding the radius of a circle using the area of a sector

Formula for finding the radius of a circle using the area of a sector

Finally, permit'due south determine this radius of a with a circumference of 16:

Circumference of the circle

Formula for finding the radius using the circumference of the circle

Formula for finding the radius using the circumference of the circle

Formula for finding the radius using the circumference of the circle

Now You Know How to Discover the Radius of a Circle With the Area

Finding the radius of a circle requires you to use formulas such equally the area or sector area of a circle formulas. You can likewise 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 Aid

  • How to Round to One Decimal Place: Your Step-by-Footstep Guide
  • How Does the Area Definition Utilize to 3D Objects?
  • How Do You Detect the Expanse of a Quarter Circle?

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

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