3 years ago

Simple Interest: please help me.How do you find the answer please explain

Mathematics

1 answer:

OverLord2011 [107]3 years ago

8 0

Answer: $57

Step-by-step explanation:

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Common denominator between six and 44

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A circle has a sector with area 33 pi and a central angle of 11/6 pi radians. What is the area of a circle?

Mashutka [201]

Answer:

36π

Step-by-step explanation:

The area of a circle is given as:

$A = \pi r^2$

where r = radius of the circle

The area of a sector of a circle is given as:

$A_s = \frac{\alpha }{2\pi} * \pi r^2$

where α = central angle in radians

Since $\pi r^2$ is the area of a circle, A, this implies that:

$A_s = \frac{\alpha }{360} * A$

A circle has a sector with area 33 pi and a central angle of 11/6 pi radians.

Therefore, the area of the circle, A, is:

$33 \pi = \frac{\frac{11 \pi}{6} }{2 \pi} * A\\\\33\pi = \frac{11}{12} * A\\\\=> A = \frac{33\pi * 12}{11}\\ \\A = \frac{396 \pi}{11} \\\\A = 36\pi$

The area of the circle is 36π.

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Step-by-step explanation:

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