Question

The circle shown above is centered at the origin and contains the point (-4, -2).

What is the length of the diameter to the nearest tenth of the circle?

Answer 1

8.9 units

Explanation:

• Since, the circle is centered at origin.
• So, coordinates of center are (0, 0)
• Point (-4, - 2) is located on the circle.
• So, distance between (0, 0) & (-4, - 2) will be the radius of the circle.

`\therefore \: r = \sqrt{ {( - 4 - 0)}^(2) + {( - 2 - 0)}^(2) } \\ \\ \therefore \: r = \sqrt{ {( - 4)}^(2) + {( - 2)}^(2) } \\ \\ \therefore \: r= √(16 + 4) \\ \\ \therefore \: r= √(20) \\ \\ \therefore \:2 r= 2 √(20) \\ \\ \therefore \:2 r=8.94427191 \\ \\ 2r = 8.9 \: \\ \\ diameter \: = 8.9 \: units`