# What is the equation of a circle with center at the origin and the radius is half of 13?

## What is the equation of a circle with center at the origin and the radius is half of 13?

It is x2+y2−169=0 .

How do you write the equation of a circle given its radius?

The formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle.

### How do you write the equation of a circle given is radius and its center at the origin What about if the center is at HK?

The equation of a circle written in the form (x−h)2+(y−k)2=r2 where (h,k) is the center and r is the radius. The circle centered at the origin with radius 1; its equation is x2+y2=1.

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Which equation of the circle has its center at the origin?

The equation of a circle, centered at the origin, is x2+y2=r2, where r is the radius and (x, y) is any point on the circle.

#### What is the equation of a circle with center at the point of origin and with radius 5 units?

x2+y2=5.

What is the equation of the circle centered at the point (3/5)?

The standard equation for a circle centered at the point (h, k) with radius r is: What is the equation of the circle centered at the point (3, 5) with radius 6? We are told that the center is (3, 5). This means h = 3 and k = 5. We are also told that r = 6. Using the general equation (x – h) 2 + (y – k) 2 = r 2, we get:

## How to find if a point lies inside or outside a circle?

Given a circle (coordinates of centre and radius) and a point (coordinate), find if the point lies inside or on the circle, or not. We strongly recommend you to minimize your browser and try this yourself first. The idea is compute distance of point from center. If distance is less than or equal to radius. the point is inside, else outside.

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What is the formula to find the radius of a circle?

Since a radius is a a straight line from the center to the circumference of a circle, you could use the distance formula: √ (x2−x1)^2+ (y2−y1)^2; to find the distance from the center (0,0) to the point (-6,√37); which would give you the radius.

### What is the definition of a circle?

Remember, the circle is a set of all points that are exactly six units away from that center. So that’s the definition of a circle, it’s a set of all points that are exactly six units away from the center. So if, for example, P is less than six units away, it’s going to be inside the circle.