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Find the area of the sector associated with a single slice of pizza if the entire pizza has a 14-inch diameter, and the pizza is cut into 8 pieces. Show all work and write your approximate answer (to the hundredths) on the line provided. Use the sector formula A = ²0

Find the area of the sector associated with a single slice of pizza if the entire pizza has a 14-inch diameter, and the pizza is cut into 8 pieces. Show all work and write your approximate answer (to the hundredths) on the line provided. Use the sector formula A = ²0

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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**Trigonometry Practice Problems** **1. Creating a New Problem for Arc Length** Create a problem NOT in the videos or modules with a degree measure between 15 degrees and 345 degrees that will give you an exact arc length. Show your work and write your final exact and simplified answer on the given line. Use the arc formula \( s = r \theta \). --- **2. Area of a Sector in a Circle** Find the area of the sector associated with a single slice of pizza if the entire pizza has a 14-inch diameter, and the pizza is cut into 8 pieces. Show all work and write your approximate answer (to the hundredths) on the line provided. Use the sector formula \( A = \frac{1}{2} r^2 \theta \). --- **3. Understanding Radians** If I told you that the measure of a radian differs depending on the length of the radius of the circle used, would you agree with me? Explain by using complete sentences. --- **4. Arc Length Calculation in Different Circles** Find the measure of the intercepted arc of a circle with the given radius and central angle for each problem below. Show your work. Use \( s = r \theta \). A. \( r = 8 \) inches, \( \theta = 42^\circ \) \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ B. \( r = 5 \) m, \( \theta = 144^\circ \) \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ --- By solving these problems, you will enhance your understanding of calculating arc lengths and areas of sectors in circles. Make sure to carefully show all steps for each problem to ensure you grasp the concepts involved.
Transcribed Image Text:**Trigonometry Practice Problems** **1. Creating a New Problem for Arc Length** Create a problem NOT in the videos or modules with a degree measure between 15 degrees and 345 degrees that will give you an exact arc length. Show your work and write your final exact and simplified answer on the given line. Use the arc formula \( s = r \theta \). --- **2. Area of a Sector in a Circle** Find the area of the sector associated with a single slice of pizza if the entire pizza has a 14-inch diameter, and the pizza is cut into 8 pieces. Show all work and write your approximate answer (to the hundredths) on the line provided. Use the sector formula \( A = \frac{1}{2} r^2 \theta \). --- **3. Understanding Radians** If I told you that the measure of a radian differs depending on the length of the radius of the circle used, would you agree with me? Explain by using complete sentences. --- **4. Arc Length Calculation in Different Circles** Find the measure of the intercepted arc of a circle with the given radius and central angle for each problem below. Show your work. Use \( s = r \theta \). A. \( r = 8 \) inches, \( \theta = 42^\circ \) \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ B. \( r = 5 \) m, \( \theta = 144^\circ \) \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ --- By solving these problems, you will enhance your understanding of calculating arc lengths and areas of sectors in circles. Make sure to carefully show all steps for each problem to ensure you grasp the concepts involved.
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