# What formula will be used to find the center if the given is the endpoints of the diameter?

Table of Contents

## What formula will be used to find the center if the given is the endpoints of the diameter?

Assuming you have either endpoint of the diameter of a circle, you can use the midpoint formula to find the point midway between the two points. According to the definition of a diameter, this will be the circle’s center point. If you have the points (x1,y1) and (x2,y2) , the midpoint formula is (x1+x22,y1+y22) .

## What formula do you use to find the center 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 diameter form of the circle?

It is a circle with four “holes” A, B, C, D. (Two holes if the diameter is perpendicular or parallel to the x-axis). The reason is that if x = x1 or x = x2, the denominator of the left hand side of (1) is equal to zero, making the equation undefined. Points A and C have the first coordinates x1.

## What is the center radius form of a circle?

A circle is a set of points equidistant from a center point. Here’s a set of points equidistant from the origin! A common form to write the equation of a circle in is the center-radius form. The center-radius form is: (x−h)2+(y−k)2=r2 Here, the center point is denoted by (h,k) and r is the radius of the circle.

## What is an angle whose vertex is the center of a circle?

Central Angle: An angle whose vertex is the center of a circle. The measure of a central angle is equal to the measure of its intercepted arc.

## What have you observed with the measure of the inscribed angle and its intercepted arc?

If an angle is an inscribed angle, then its measure is equal to half the measure of the intercepted arc. If an angle is an inscribed angle, then its measure is equal to half the measure of the intercepted arc.

## What angles is formed by two radii and whose vertex is the center of the circle?

The central angle is formed between two radii, and its vertex lies at the center of the circle.

## What do you call a chord which passes through the center of a circle?

A chord that passes through the center of a circle is called a diameter and is the longest chord of that specific circle.