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Aleonysh [2.5K]
3 years ago
13

a circle has a radius of 4 an arc in this circle has a central angle of 288 what is the length of the arc

Mathematics
1 answer:
AnnZ [28]3 years ago
4 0

Answer:

20.1 units

Step-by-step explanation:

2πr * X/360, where X = angle measure

2(3.14)(4)(288/360)

20.1 units

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I'm not sure what you're looking for so I'll give you everything that I can about that triangle. The angles of the triangle are 90°, 66° and 24°. The size of the triangle are 8.22, 3.66, and the hypotenuse is 9

Step-by-step explanation:

angle A and angle B are complementary angles meaning they add up to 90° since this is a right triangle so 66 + 24 = 90 angle A is 24°. Now to find the measures of The legs of this triangle will use trigonometry more specifically the sign function.

b =  \sin(66)  =  \frac{b}{9}  \\ 9 \sin(66)  = b \\ 8.22 = b

a =  \sin(24)  =  \frac{a}{9}  \\ 9 \sin(24)  = a \\ 3.66 = a

by the Pythagorean theorem

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