Pleaseeee help me I need to get this done but can’t figure it out

Solved

Show answers

Ответ:

bankskry

02.04.2021

Mathematics

x^2 + y^2 = 52

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, (x_1,y_1) and (x_2,y_2) . The distance between them is given by:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Equation of a circle:

The equation of a circle with center (x_0,y_0) and radius r has the following format:

(x - x_0)^2 + (y - y_0)^2 = r^2

Center at the origin;

This means that x_0 = 0, y_0 = 0

(x - x_0)^2 + (y - y_0)^2 = r^2

(x - 0)^2 + (y - 0)^2 = r^2

x^2 + y^2 = r^2

Passes through (4, 6)

The radius is the distance from this point to the center. So

$r = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$r = \sqrt{(4-0)^2+(6-0)^2}$

$r = \sqrt{16+36}$

$r = \sqrt{52}$

r^2 = 52

Then

x^2 + y^2 = r^2

x^2 + y^2 = 52

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice