Answered: Area of a Sector An arc of length 3…

Name: Area of a Sector An arc of length 3 feet is cut off by a central angle
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Description: Area of a Sector An arc of length 3 feet is cut off by a central angle of p/4 radians.Find the area of the sector formed.

Math

Trigonometry

Area of a Sector An arc of length 3 feet is cut off by a central angle of p/4 radians.Find the area of the sector formed.

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter1: Trigonometry

Section1.1: Radian And Degree Measure

Problem 69E: Area A sprinkler on a golf green is set to spray water over a distance of 15 meters and to rotate...

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Concept explainers

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.

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Question

Area of a Sector An arc of length 3 feet is cut off by a central angle of p/4 radians.
Find the area of the sector formed.

Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.

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