Question

МНЕ ОЧЕНЬ ОЧЕНЬ ОЧЕНЬ НУЖНО РЕШИТЬ ЭТО!!!!! Концы диаметра окружности находятся в точках Е(3;-4) и F(-3 ; 4). Нужно найти радиус окружности

Answer 1

Надо найти длину диаметра.
ЕҒ=\/(-3-3)^2+(4-(-4))^2=\/36+64=\/100=10. радиус есть диаметр деленный на два.
ЕО= 10/2=5см
ответ: 5

Answer 2

Finding the Radius of a Circle

To find the radius of a circle when the endpoints of its diameter are given, we can use the distance formula. The distance formula between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by:

\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

Applying the Distance Formula

Given the endpoints of the diameter of the circle as \(E(3, -4)\) and \(F(-3, 4)\), we can use the distance formula to find the radius of the circle.

The distance between the points \(E\) and \(F\) will be equal to the diameter of the circle. We can use this information to find the radius.

The distance formula between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by:

\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

Calculating the Radius

Let's calculate the distance between points \(E\) and \(F\) to find the diameter of the circle, and then we can find the radius by dividing the diameter by 2.

Using the distance formula: \[ d = \sqrt{(-3 - 3)^2 + (4 - (-4))^2} \]

\[ d = \sqrt{(-6)^2 + (8)^2} \]

\[ d = \sqrt{36 + 64} \]

\[ d = \sqrt{100} \]

\[ d = 10 \]

The diameter of the circle is 10 units. Therefore, the radius of the circle will be half of the diameter, which is:

\[ \text{Radius} = \frac{10}{2} = 5 \]

The radius of the circle is 5 units.