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3 years ago

The sector of a circle with a 12-inch radius has a central angle measure of 60

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

5 0

Answer:

24 π square inches

Step-by-step explanation:

The area of a circule is give by the formula A = π r²

Since we have a angle of 60 degrees, that represent 1/6th of the whole area (60 / 360 degrees).

A circle = π * 12² = 144 π square inches

Area of the portion representing 60 degrees of the circle, can easily be calculated with a cross-multiplication:

$\frac{x}{144\pi } = \frac{60}{360}$

x = 144 π / 6 = 24 π square inches

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Step-by-step explanation:

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3 years ago

A water tank is 3/4 full.

guapka [62]

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0.4x=.75x-42

-0.35x=-42

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I set up a proportion in which x=the tank when it is 3/4 full. When the tank is 3/4 full, solving the proportion tells us the x=120 litres. 120/3=40, and 120+40 is 160, showing that a tank completely full would indeed hold 160 litres.

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3 years ago

Use the quadratic formula to find the solutions for..<br> y = 2x^2 - 9x + 5.

Yakvenalex [24]

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Step-by-step explanation:

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3 years ago

What is the domain, range, and function? {(-3, 3), (1, 1), (0, -2), (1,4), (5, -1)}

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2 years ago

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