Equation and Point Check for Circle of Radius 1

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SUMMARY

The equation of a circle with a radius of 1 centered at the origin (0,0) is defined as x² + y² = 1. The point (3/5, 4/5) has been verified to lie on this circle, as demonstrated by the calculation (3/5)² + (4/5)² = 1, which simplifies to 1 = 1. This confirms that the point satisfies the circle's equation.

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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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RTCNTC said:
Correct?

Yep. :)
 

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