The arc of a circle 50 cm long, subtends angle of 75° at the center of the circle. Find correct to 3 significant figures, the radius of the circle. Take \(\pi = \frac{22}{7}\)
a
8.74cm
b
38.2cm
c
61.2cm
d
76.4cm
Explanation
Correct Option
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stevenson531
10 years ago
Here is an explanation:
(ѳ/360)*2πr = arc length
Hence, the radius = arc length/2π*(ѳ/360)
=50/(2*(22/7)*(75/360)
=38.1818...cm
=38.2cm to 3 s.f.



