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Find the radian measure of the central angle of a circle of radius r=100 inches that intercepts an arc of length s=30 inches.

User Gankoji
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Final answer:

To find the radian measure of the central angle, we can use the formula Δθ = s/r, where Δθ is the central angle in radians, s is the arc length, and r is the radius of the circle. Substituting the values given in the question, we have Δθ = 30/100. Simplifying this gives Δθ = 0.3 radians.

Step-by-step explanation:

The question is asking to find the radian measure of a central angle in a circle with a given radius and arc length. To find the radian measure, you can use the formula Δθ = s / r, where Δθ is the angle in radians, s is the arc length, and r is the radius of the circle. Plugging in the values given, we get Δθ = 30 inches / 100 inches, which simplifies to Δθ = 0.3 radians.

User Overmachine
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