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

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Explanation

Correct Option
b

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Discussions (5)

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.

ishae
1 year ago

how did we come about the
460/11

May0rwah
1 year ago

well I guess the real explanation given is self explanatory.

quamameen123
5 months ago

okay

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