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3 years ago

A circle has a sector with area 45/4 pi and central angle of 9/10 pi radians. What is the area of the circle?

Mathematics

1 answer:

Nikitich [7]3 years ago

6 0

Answer:

the area of the circle: 25π

Step-by-step explanation:

45/4 π = 11.25π

9/10π = 0.9π

11.25π / 0.9π = x / 2π .... 360° = 2π

x = (11.25π x 2π) / 0.9π = 25π

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What is the answer to this?

Trava [24]

Answer:

Step-by-step explanation:

The formula of a volume of a cylinder:

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r - radius

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$2r=4\ in\to r=2\ in\\\\H=8\ in$

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The formula of a volume of a cone:

$V=\dfrac{1}{3}\pi r^2H$

We have

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Substitute:

$V_2=\dfrac{1}{3}\pi(2^2)(0.7)=\dfrac{1}{3}\pi(4)(0.7)=\dfrac{1}{3}\pi(2.8)=\dfrac{2.8\pi}{3}=\dfrac{28\pi}{30}=\dfrac{14\pi}{15}\ in^3$

The volume of the plastic object:

$V=V_1-V_2$

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