Equation and Point Check for Circle of Radius 1

In summary, the equation for a circle of radius 1 is x^2 + y^2 = 1. The circumference is 2π, the area is π, and the diameter is 2. To graph a circle of radius 1 on a coordinate plane, plot the center at (0,0) and mark points along the circumference at (1,0), (-1,0), (0,1), and (0,-1). Then, draw a smooth curve connecting these points.
  • #1
mathdad
1,283
1
A. Write the equation of radius 1 centered at (0,0).

x^2 + y^2 = 1

B. Does the point (3/5, 4/5) lie on the circle?

(3/5)^2 + (4/5)^2 = 1

(9/25) + (16/25) = 1

25/25 = 1

1 = 1

Yes, the point (3/5, 4/5) lies on the circle.

Correct?
 
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  • #2
RTCNTC said:
Correct?

Yep. :)
 

Related to Equation and Point Check for Circle of Radius 1

1. What is the equation for a circle of radius 1?

The equation for a circle of radius 1 is x^2 + y^2 = 1.

2. What is the circumference of a circle of radius 1?

The circumference of a circle of radius 1 is 2π.

3. What is the area of a circle of radius 1?

The area of a circle of radius 1 is π.

4. What is the diameter of a circle of radius 1?

The diameter of a circle of radius 1 is 2.

5. How do you graph a circle of radius 1 on a coordinate plane?

To graph a circle of radius 1 on a coordinate plane, plot the center at (0,0) and mark points along the circumference at (1,0), (-1,0), (0,1), and (0,-1). Then, draw a smooth curve connecting these points.

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