Knowee
Questions
Features
Study Tools

Which of the following equations correctly represents a circle centered at the origin with a radius of 10?

Question

Which of the following equations correctly represents a circle centered at the origin with a radius of 10?

🧐 Not the exact question you are looking for?Go ask a question

Solution

The equation of a circle centered at the origin with a radius of 10 is x² + y² = 100. This is derived from the standard equation of a circle, which is (x-h)² + (y-k)² = r², where (h,k) is the center of the circle and r is the radius. In this case, the circle is centered at the origin (0,0), so h and k are both 0, and the radius is 10. Therefore, the equation becomes x² + y² = 10², or x² + y² = 100.

This problem has been solved

Similar Questions

Give the equation of the circle centered at the origin with radius 10

Write the equation of a circle with its center at (-7, 10) and circumference 12π.

Which of the following equations correctly represents a circle centered at the origin with a radius of 5?A.(x - 5)2 + y2 = 25B.(x - 5)2 + (y - 5)2 = 5C.x2 + y2 = 5D.x2 + y2 = 25SUBMITarrow_backPREVIOUS

Write the equation of the circle centered at (−7,10)(-7,10) with radius 8. Fully simplify the equation.

The equation of a circle is given below. Identify the center and the radius. Then graph the circle.=+x2+4y−y2210

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.