Answered: 16m | bartleby

Math

Trigonometry

16m

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter5: Trigonometric Functions: Right Triangle Approach

Section5.CR: Chapter Review

Problem 3CC

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Question

Find the length of the arc that subtends the given central angle theta=50 degrees on a circle of diameter d=16m. What is the area of the sector determined by theta?

Two-dimensional figure measured in terms of radius. It is formed by a set of points that are at a constant or fixed distance from a fixed point in the center of the plane. The parts of the circle are circumference, radius, diameter, chord, tangent, secant, arc of a circle, and segment in a circle.

Expert Solution

Step 1.

Length of the arc (l)= circumference x fraction of the circle.

Diameter=2xradius

Since diameter=16m so radius of the circle is 8m.

$l = 2 πrx \frac{50}{360} = 2 x \frac{22}{7} x 8 x \frac{50}{360} = 6.984$

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