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tatiyna
3 years ago
7

Find the length of AB.

Mathematics
1 answer:
Margaret [11]3 years ago
7 0

Answer:

19.54 m

Step-by-step explanation:

l(\widehat {AB})  =  \frac{ \theta}{360 \degree}  \times 2 \pi r \\  \\l(\widehat {AB})  =  \frac{140 \degree}{360 \degree}  \times 2 \times 3.14 \times 8 \\  \\ l(\widehat {AB})  =  \frac{7}{18}  \times 2 \times 3.14 \times 8 \\  \\ l(\widehat {AB})  =  \frac{351.68}{18}   \\  \\ l(\widehat {AB})  = 19.5377778 \\  \\ l(\widehat {AB})   \approx 19.54 \: m

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