Properties Of A Circle From Circle.center:(0,0).radius:6 - Tiger Algebra

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Enter an equation or problemClear Solve × Camera input is not recognized!axy/|abs|( )789*456-%123+<>0,.=abcabcdefghijklmnopqrstuvwxyz␣.Solution - Properties of circles from center point and radius/diameter Radius r=6 r=6 Diameter d=12 d=12 Circumference c=12π c=12π Area a=36π a=36π Standard form equation x2+y2=36 x^2+y^2=36 Expanded form equation x2+y2−36=0 x^2+y^2-36=0See steps

Other Ways to Solve

Properties of circles from center point and radius/diameter

Step-by-step explanation

1. Find the diameter

A circle's diameter (d) is twice the length of its radius (r). To find the diameter, plug r into the formula:

d=2r d=2*6 d=12

2. Find the circumference

A circle's circumference (c) equals twice the length of its radius (r) times π. To find the circumference plug r into the formula:

c=2rπ r=6 c=2·6π c=12π

3. Find the area

A circle's area (a) equals its radius (r) squared times π. To find the area, plug r into the formula:

a=r2π r=6 a=62π a=36π

4. Find the equation of the circle in standard form

The standard form of the equation of a circle is (x−h)2+(y−k)2=r2, in which h represents the x-coordinate of the circle's center, k represents the y-coordinate of the circle's center, r represents the circle's radius, and x and y represent the coordinates of any point on the circle's perimeter. To find the equation of the circle in standard form, plug h,k and r into the equation:

(x−h)2+(y−k)2=r2 h=0 k=0 r=6 x2+y2=62 x2+y2=36

5. Find the equation of the circle in expanded form

The expanded form of the equation of a circle is x2+y2+ax+by+c=0. To find the equation of the circle in expanded form, expand the standard form of the equation of a circle:

(x−0)2+(y−0)2=36

x2+y2=36

x2+y2−36=0

6. Graph the circle

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Why learn this

The invention of the wheel is considered to be one of the greatest feats of mankind and to be the innovation that finally got things... well, rolling. Throughout history, mankind has been fascinated with circles, often thinking of them as perfect shapes that symbolize symmetry and balance in nature. Even though there is little proof that perfect circles exist in nature, there are a seemingly infinite number of manmade examples and plenty in nature that come close. From the outline of Stonehenge to pizza, the cross-section of an orange, a tree's trunk, coins, and so on. Because we are surrounded by and interact with circles on such a regular basis, understanding their properties can help us understand the world around us.

Terms and topics

• Properties of circles

Related links

• Circle | Math is fun
• Circle equations | Math is Fun
• Properties of a circle | Khan academy

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