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Find the standard equation of the hyperbola which satisfies the given conditions:
Find the length of the arc on a circle of radius intercepted by a central angle θ.

Radius: 15 inches Central Angle: 1800

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Adioabiolaidn

The length of the arc on a circle of radius, r= 15 inches intercepted by a central angle, θ = 180° is; 47.13 inches

Length of an arc:

The length of an arc subtended within a circle is usually a fraction of the circumference of the circle.

In essence, the mathematical formula for evaluating the length of an arc within a circle is;

  • Length of an arc = θ/360 × 2πr

  • L = (180/360) × 2×3.142 × 15.

  • L = 47.13 inches.

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