#2a. Determine the value of s, the arc length (measured in inches) cut off in a circle with a radius of 3 inches by anangle with a measure of 5.5 radians.inchesb. Determine the measure of an angle (in radians) that cuts off an arc length of 6.4 inches in a circle with a 3.9inch radiusradiansc. Determine the length of the radius of the circle (measured in feet) when the angle has a measure of 126degrees and cuts off an arc length of 49 feet.feet
Accepted Solution
A:
Answer:a) 16.5 inchesb) 1.64 radianc) 22.3feetStep-by-step explanation:[tex]s = rθ \: [/tex]a) r = 3in θ = 5.5rad s = 3 × 5.5 = 16.5inb) 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)