3 years ago

Find the circumference of the circle

Mathematics

1 answer:

Ann [662]3 years ago

3 0

C = 8 x pi
C = 8 x 3.14
C = 25.12

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Nezavi [6.7K]

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Step-by-step explanation:

First calculate BD using sine ratio in Δ BCD and the exact value

sin60° = $\frac{\sqrt{3} }{2}$ , thus

sin60° = $\frac{opposite}{hypotenuse}$ = $\frac{BD}{BC}$ = $\frac{BD}{12}$ = $\frac{\sqrt{3} }{2}$ ( cross- multiply )

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-----------------------------------------------------------

Calculate AD using the tangent ratio in Δ ABD and the exact value

tan30° = $\frac{1}{\sqrt{3} }$ , thus

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Solve for w: 3w - 33 = -24

fomenos

The answer should be w = 3

3w = -24 + 33

3w = 9

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w = 3

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Find the circumference of the circle ​

Find the circumference of the circle