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Andreyy89
3 years ago
11

Can someone please help this is due tonight!!

Mathematics
1 answer:
Pani-rosa [81]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

The wheel has a measure of 360° , thus

360° ÷ 20 ( number of cars on the wheel )

= 18° ← central angle

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

arc length is calculated as

arc = circumference of wheel × fraction of wheel

      = 2πr × \frac{18}{360}

      = 2π × 25 × \frac{1}{20} = \frac{50\pi }{20} ≈ 7.85 ft

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

area of sector is calculated as

area = area of wheel × fraction of wheel

        = π × 25² × \frac{1}{20} = \frac{625\pi }{20} ≈ 98.17 ft²

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