What are the solutions to the equation r*pi= 90/360*r^2*pi ?

The solutions to the equation r*pi= 90/360*r^2*pi are r=4,r=0

Find the zeros of r*pi= 90/360*r^2*pi

The zeros of r*pi= 90/360*r^2*pi are r=4,r=0

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r \cdot π = \frac{90}{360} \cdot r^{2} \cdot π

r = 4, r = 0

Solution steps

r π = \frac{90}{360} r^{2} π

Multiply both sides by

360

360 π r = 90 π r^{2}

Switch sides

90 π r^{2} = 360 π r

Move

360 π r

to the left side

90 π r^{2} - 360 π r = 0

Solve with the quadratic formula

r_{1, 2} = \frac{- ( - 360 π ) \pm ( - 360 π ) ^{2} - 4 \cdot 90 π 0}{2 \cdot 90 π}

(- 360 π)^{2} - 4 \cdot 90 π 0 = 360 π

r_{1, 2} = \frac{- ( - 360 π ) \pm 360 π}{2 \cdot 90 π}

Separate the solutions

r_{1} = \frac{- ( - 360 π ) + 360 π}{2 \cdot 90 π}, r_{2} = \frac{- ( - 360 π ) - 360 π}{2 \cdot 90 π}

r = \frac{- ( - 360 π ) + 360 π}{2 \cdot 90 π} : 4

r = \frac{- ( - 360 π ) - 360 π}{2 \cdot 90 π} : 0

The solutions to the quadratic equation are:

r = 4, r = 0

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\frac{2}{3} x^{2} + 30 = 0

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What are the solutions to the equation r*pi= 90/360*r^2*pi ?
The solutions to the equation r*pi= 90/360*r^2*pi are r=4,r=0
Find the zeros of r*pi= 90/360*r^2*pi
The zeros of r*pi= 90/360*r^2*pi are r=4,r=0