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polet [3.4K]
3 years ago
13

A circle has a circumference of 9 pi meters what is the area of this circle​

Mathematics
1 answer:
Andreas93 [3]3 years ago
8 0

Answer: 63.62 square m.

Step-by-step explanation:

Find the Radius so 9/2= 4.5

Area = π r²

Area 3.14(20.25)

Area equles 63.62

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liraira [26]

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How fast is the temperature experienced by the particle changing in degrees Celsius per meter at the point

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Step-by-step explanation:

Given

P = (\frac{1}{2}, \frac{\sqrt 3}{2})

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v = 2m/s

Express the given point P as a unit tangent vector:

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u = \frac{\sqrt 3}{2}i - \frac{1}{2}j

Next, find the gradient of P and T using: \triangle T = \nabla T * u

Where

\nabla T|_{(\frac{1}{2}, \frac{\sqrt 3}{2})}  = (sin \sqrt 3)i + (cos \sqrt 3)j

So: the gradient becomes:

\triangle T = \nabla T * u

\triangle T = [(sin \sqrt 3)i + (cos \sqrt 3)j] *  [\frac{\sqrt 3}{2}i - \frac{1}{2}j]

By vector multiplication, we have:

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\triangle T = 0.9870 * 0.8660 +0.1606 * 0.5

\triangle T = 0.935042

Hence, the rate is:

Rate = \triangle T = 0.935042^\circ /cm

3 0
2 years ago
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