Determine the length of a chord whose central angle is 90° in a circle with a radius of 15 inches.

Answer Options:
15 inches
10.61 inches
21.21 inches
45 inches

Respuesta :

The length of the chord is 21.21 inches

How to determine the chord length?

The given parameters are:

  • Central angle, x = 90
  • Radius, r = 15 inches

The chord length (L) is calculated using:

L = 2 * r * sin(x/2)

Substitute known values

L = 2 * 15 * sin(90/2)

Evaluate the expression

L = 21.21 inches

Hence, the length of the chord is 21.21 inches

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The length of the chord is 21.21 inches.

What is Chord?

A chord is the line segment joining two points on a curve. The term is often used to describe a line segment whose ends lie on a circle.

The given parameters are:

Central angle, x = 90

Radius, r = 15 inches

The chord length (L) is calculated by:

L = 2 X r X sin(x/2)

Substitute known values

L = 2 X 15 X sin(90/2)

L = 30 X sin 45⁰

L = 30 / √2

L = 21.21 inches

Thus, the length of the chord is 21.21 inches

Learn more about chord lengths at:

brainly.com/question/13950364

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