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PSYCHO15rus [73]
3 years ago
11

What is the area of a sector with a central angle of 5pi over 6 radians and a radius of 5.6ft

Mathematics
1 answer:
kogti [31]3 years ago
6 0

Answer:

41.0501 ft²

Step-by-step explanation:

Area of a Sector (Radians): A = 1/2r²∅

We are given <em>r</em> and ∅, so simply plug it into the formula:

A = 1/2(5.6)²(5π/6)

A = 1/2(31.36)(5π/6)

A = 15.68(5π/6)

A = 41.0501 ft²

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Trigonometric Functions:

S\frac{O}{H} C\frac{A}{H} T\frac{O}{A}

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You have the angle and the adjacent. You need to find the hypotenuse (PR). Therefore, you use cos.

Cos(26)=\frac{13}{H}

Rearrange the formula to find H (PR):

H = \frac{13}{Cos(26)}

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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