(1 point)
Responses
x squared plus y squared equals 25
Image with alt text: x squared plus y squared equals 25
x squared plus y squared equals 5
Image with alt text: x squared plus y squared equals 5
x + y = 5
x + y = 5
Start Fraction x squared over 25 End Fraction plus Start Fraction y squared over 25 End Fraction equals 25
Image with alt text: Start Fraction x squared over 25 End Fraction plus Start Fraction y squared over 25 End Fraction equals 25
1 answer
The equation \( r = 5 \) represents a circle in polar coordinates, where \( r \) is the radius. To convert this to rectangular form, we can use the relationship \( r^2 = x^2 + y^2 \).
So we have:
\[ r^2 = 5^2 \]
This simplifies to:
\[ x^2 + y^2 = 25 \]
Thus, the correct rectangular form is:
x squared plus y squared equals 25.
