MHB Equation and Point Check for Circle of Radius 1

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The equation of a circle with a radius of 1 centered at (0,0) is x^2 + y^2 = 1. The point (3/5, 4/5) is checked by substituting its coordinates into the equation. The calculation shows that (3/5)^2 + (4/5)^2 equals 1, confirming the point lies on the circle. The discussion concludes affirmatively that the point is indeed on the circle. The verification process is accurate and straightforward.
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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. :)
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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