Question

Can someone please help this is due tonight!!

Answer 1

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

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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

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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