In the figure below, find the following. (Round your answers to three significant digits 60.0° 14.0 m (a) the length of arc s (in m) m (b) the area of the sector (in m2) m2 (c) the area of the segment (in m²)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 30E
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### Problem Statement

In the figure below, find the following. (Round your answers to three significant digits.)

![Circle with Sector](image-link)

#### Diagram Explanation

The circle has a radius of 14.0 meters. Inside the circle, there is a sector with a central angle of 60.0 degrees. The arc length of the sector is labeled as \( s \).

#### Questions

(a) The length of arc \( s \) (in meters):

\[ \underline{\hspace{1.5cm}} \text{ m} \]

(b) The area of the sector (in square meters):

\[ \underline{\hspace{1.5cm}} \text{ m}^2 \]

(c) The area of the segment (in square meters):

\[ \underline{\hspace{1.5cm}} \text{ m}^2 \]
Transcribed Image Text:### Problem Statement In the figure below, find the following. (Round your answers to three significant digits.) ![Circle with Sector](image-link) #### Diagram Explanation The circle has a radius of 14.0 meters. Inside the circle, there is a sector with a central angle of 60.0 degrees. The arc length of the sector is labeled as \( s \). #### Questions (a) The length of arc \( s \) (in meters): \[ \underline{\hspace{1.5cm}} \text{ m} \] (b) The area of the sector (in square meters): \[ \underline{\hspace{1.5cm}} \text{ m}^2 \] (c) The area of the segment (in square meters): \[ \underline{\hspace{1.5cm}} \text{ m}^2 \]
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