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The center of circle q has coordinates (-2, 1). if circle q passes through r (6, 7), what is the length of its diameter?

User MikeyE
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1 Answer

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Diameter of a Circle

There are multiple strategies we can use to find the diameter of a circle. For this question, we must calculate the length of the radius first and multiply by 2 to find the diameter.

Solving the Question

We're given the centre and a point on the circumference:
(-2,1),(6,7).

Find the distance between them using the distance equation:


d=√((x_2-x_1)^2+(y_2-y_1)^2)

Plug in the given points:


d=√((-2-x_1)^2+(1-y_1)^2)\\d=√((-2-6)^2+(1-7)^2)\\d=√((-8)^2+(-6)^2)\\d=√(64+36)\\d=√(100)\\d=10

Therefore, the radius of the circle is 10 units.

Multiply the radius by 2 to find the length of the diameter:

10 × 2

= 20

Therefore, the length of the diameter is 20 units.

Answer

20 units

User Andrew Lorien
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