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In a circle, an arc 60 centimeters long subtends an angle of 5 radians. What is the radius of the circle?"0.6 / 5 = 0.12 m"
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In a circle, an arc 60 centimeters long subtends an angle of 5 radians. What is the radius of the circle?"0.6 / 5 = 0.12 m"
Hoped This Helped, Taylorlolth
Your Welcome :)
The radius of the circle is 12cm.
What is the arc length of the circle?
The distance along the part of the circumference of any circle or any curve (arc) is called the arc length of the circle.
What is the formula for the arc length of the circle?
The formula for the arc length is
[tex]s = r\theta[/tex]
Where,
s is the arc length of the circle
and θ is the angle in radians
According to the given question.
Length of an arc of the circle, l = 60cm
Angle, θ = 5 radians
Since,
We know that
Arc length = radius × θ
⇒ 60 = radius × 5
⇒ radius = [tex]\frac{60}{5}[/tex]
⇒ radius = 12 cm
Hence, the radius of the circle is 12cm.
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