a^2+b^2=25/4

asked by guest
on Jan 28, 2025 at 11:41 pm



You asked:

Investigate the equation: a2+b2=254{a}^{2} + {b}^{2} = \frac{25}{4}.

MathBot Answer:

The graph of the equation a2+b2=254{a}^{2} + {b}^{2} = \frac{25}{4} is a circle.


The coordinates of its center are (0,0)\left(0, 0\right).

Its radius is 52\frac{5}{2}.

The cirlce has parameterization: a(θ)=5cos(θ)2b(θ)=5sin(θ)2\begin{aligned}a\left(\theta\right) &= \frac{5 \cos{\left(\theta \right)}}{2}\\b\left(\theta\right) &= \frac{5 \sin{\left(\theta \right)}}{2}\end{aligned}

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