How do you find the radius of a circle passing through a point?

The radius of your circle is the distance between the points (−1,4) and (3,−2). Using the Distance Formula: D=√(3−(−1))2+(−2−4)2=√42+(−6)2=√16+36=√52.

What is the length of the radius of the circle whose center is the origin and that passes through the point (- 5 12?

The radius is simply the distance from the center to the edge, and we can use Pythagoras’ Theorem to calculate that for this circle the radius is 13 units.

What is the equation of a circle?

The general equation of a circle is (x – h)2 + (y – k)2 = r2, where (h, k) represents the location of the circle’s center, and r represents the length of its radius.

How do you find the radius of the equation of a circle?

The center-radius form of the circle equation is in the format (x – h)2 + (y – k)2 = r2, with the center being at the point (h, k) and the radius being “r”. This form of the equation is helpful, since you can easily find the center and the radius.

What is the equation of a circle whose center is at the origin and whose radius is 16?

What is the equation of a circle whose center is at the origin and whose radius is 16? Summary: The equation of a circle whose center is at the origin and whose radius is 16 is x2 + y2 = 256.

What is the length of the radius of the circle whose center is the origin?

The equation of a circle with center (h,k) and radius r is given by (x−h)2+(y−k)2=r2 . For a circle centered at the origin, this becomes the more familiar equation x2+y2=r2 .

What is the radius of a circle passing through 3 points?

Constituting the equal distance from the centre to all sides of the circle, it is known as the radius of a circle passing through 3 points. [Image will be Uploaded Soon] By considering the centre and radius of the circle passing through 3 points, it is easy to find the equation of the circle passing through 3 points.

How do you find the diameter of a circle with radius?

This diameter is twice that of the radius of a circle i.e. D=2r, where ‘D’ is the diameter and ‘r’ is the radius. Radius of a circle = Diameter/2 Or. Diameter of a circle = 2 x Radius. Equation. The equation of a circle includes the radius and it is given by: (x-h) 2 + (y-k) 2 = r 2. Where (h,k) is the center of circle. Radius of circle from Area

What is the distance from the center of a circle?

The length or the distance from the center of the circle to anypoint on the circle is called radius. It is denoted by ‘r’ or ‘R’. What is the relation between radius and diameter of a circle? Radius is equal to half of the diameter of the circle. If the diameter is 10 cm, then radius will be equal to 5 cm.

What are some solved problems on radius and chord of a circle?

Let us see some solved problems on radius and chord of a circle. Example 1: Find the radius of the circle if its diameter is 16 cm. Example 2: If the length of the chord of a circle is 8 cm and the perpendicular distance from the centre to the chord is 3 cm, then what is the radius of the circle? Let us draw a circle as per the given information.