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#2
a. Determine the value of s, the arc length (measured in inches) cut off in a circle with a radius of 3 inches by an
angle with a measure of 5.5 radians.
inches
b. Determine the measure of an angle (in radians) that cuts off an arc length of 6.4 inches in a circle with a 3.9
inch radius
radians
c. Determine the length of the radius of the circle (measured in feet) when the angle has a measure of 126
degrees and cuts off an arc length of 49 feet.
feet

Respuesta :

C1042

Answer:

a) 16.5 inches

b) 1.64 radian

c) 22.3feet

Step-by-step explanation:

[tex]s = rθ \: [/tex]

a) r = 3in

θ = 5.5rad

s = 3 × 5.5

= 16.5in

b) s = 6.4in

r = 3.9in

6.4 = 3.9 × θ

θ = 1.64rad (3sf)

[tex] arc= \frac{θ}{360} \times 2 \: \pi \: r[/tex]

c) θ = 126°

arc = 49ft

49 = (126÷360)×2×3.142×r

r = 49 ÷ 2.1994

= 22.3ft (3sf)

(Correct me if i am wrong)

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