Question

Find the radius of the circle in which a central angle of 60° intercepts an arc of length 37.4 cm (use π = 22/7).​

Answer 1

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$\Large\fbox{\color{purple}{QUESTION}}$

Find the radius of the circle in which a central angle of 60° intercepts an arc of length 37.4 cm (use π = 22/7).

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$\bf\Huge\red{\mid{\overline{\underline{ ANSWER }}}\mid }$

➡️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 × 3)/π

➡️= (37.4 × 3 × 7)/22

➡️= 35.7 cm

➡️Hence, the radius of the circle is 35.7 cm.

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Answer 2

Answer:

SOLUTION:-

⏩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 × 3)/π

➡️= (37.4 × 3 × 7)/22

➡️= 35.7 cm

➡️Hence, the radius of the circle is 35.7 cm.✔