Question

find the radius of the circle in which central angle of 60 degree intercepts an arc of length 37.4cm​

Answer 1

Answer:

35.73

Step-by-step explanation:

as we know that 60 degree is 1/6 part of the circle so the circumference of the circle is

37.6×6 = 224.4

as we know that circumference=

$2\pi \: r$

$2\pi \: r \: = 224.4$

$r = 224.4 \div 2\pi$

r=35.73

Answer 2

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Given,

Length of the arc = l = 37.4 cm

Central angle = θ = 60° = 60π/180 radian = π/3 radians

We know that,

r = l/θ

= (37.4) * (π / 3)

= (37.4) / [22 / 7 * 3]

= 35.7 cm

Hence, the radius of the circle is 35.7 cm

Hope it's Helpful....:)