An arc of length 15ft subtends a central angle 0 in a circle of radios 9ft. Find measure of 0 in degrees
1 answer:
Answer:
95.49°
Step-by-step explanation:
The arc length formula is s = rФ, where r is the radius and Ф is the central angle in radians. Here, r = 9 ft and s = 15 ft. Thus, the central angle Ф is
Ф = (15 ft) / (9 ft) = 5/3 radians, or
5 rad 180°
------- * ---------- = 95.49°
3 π rad
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