3 years ago

V=1/3•9•t Dot means multiply

Mathematics

1 answer:

podryga [215]3 years ago

8 0

V=3t, I hope this helps

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Suppose a sector of a circle with radius r has a central angle of θ. Since a sector is a fraction of a full circle, the ratio of

enot [183]

Answer:

Central angle of θ

$\dfrac{A}{\pi r^2} =\dfrac{\theta}{2\pi}$

$A=\dfrac{\theta r^2}{2}, (\theta$ in radians)$

Step-by-step explanation:

Suppose a sector of a circle with radius r has a central angle of θ.

Since a sector is a fraction of a full circle, the ratio of a sector's area A to the circle's area is equal to the ratio of the central angle of θ to the measure of a full rotation of the circle.

A full rotation of a circle is 2π radians.

This proportion can be written as: $\dfrac{A}{\pi r^2} =\dfrac{\theta}{2\pi}$

Multiply both sides by $\pi r^2$

$\dfrac{A}{\pi r^2} *\pi r^2=\dfrac{\theta}{2\pi}*\pi r^2$

Simplify to get:

$A=\dfrac{\theta r^2}{2}$

Where θ is the measure of the central angle of the sector and r is the radius of the circle.

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