# The center of circle o has coordinates (3,-2). If circle passes through R(7,1), what is the length of its diameter?

By signing up, you agree to our Terms of Service and Privacy Policy

Using the distance formula, the distance 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} ]

Given that the center of the circle is at ( (3, -2) ) and it passes through ( (7, 1) ), the distance between these two points will be the diameter of the circle. Thus, substituting the coordinates into the distance formula:

[ d = \sqrt{(7 - 3)^2 + (1 - (-2))^2} ]

[ d = \sqrt{(4)^2 + (3)^2} ]

[ d = \sqrt{16 + 9} ]

[ d = \sqrt{25} ]

[ d = 5 ]

Therefore, the length of the diameter of the circle is 5 units.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- A triangle has corners at #(6 ,3 )#, #(5 ,4 )#, and #(3 ,2 )#. What is the area of the triangle's circumscribed circle?
- What is the equation of the circle with a center at #(-1 ,-3 )# and a radius of #7 #?
- A circle's center is at #(3 ,9 )# and it passes through #(4 ,5 )#. What is the length of an arc covering #( pi ) /6 # radians on the circle?
- A circle has a center at #(7 ,6 )# and passes through #(2 ,1 )#. What is the length of an arc covering #pi # radians on the circle?
- A triangle has sides with lengths of 8, 7, and 6. What is the radius of the triangles inscribed circle?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7