1 and 2 2. Show your understanding with words!1. Find the area of the Shaded Sector.OI will explain how to find the area of thetrapezoid and how I found the missinga. Leave your answer in terms of r ANDheight.6b. Round to the nearest tenth.

Name: 1 and 2 2. Show your understanding with words!1. Find the area of the
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Description: 1 and 2 2. Show your understanding with words!1. Find the area of the Shaded Sector.OI will explain how to find the area of thetrapezoid and how I found the missinga. Leave your answer in terms of r ANDheight.6b. Round to the nearest tenth.

(2) Height can be calculated using Pythagoras theorem, 32+h2=52h2=25-9=16h=4

Answered: 2. Show your understanding with words!…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.5: More Area Relationships In The Circle

Problem 19E

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1 and 2

2. Show your understanding with words!
1. Find the area of the Shaded Sector.
OI will explain how to find the area of the
trapezoid and how I found the missing
a. Leave your answer in terms of r AND
height.
6
b. Round to the nearest tenth.

Expert Solution

Step 1

(2)

Height can be calculated using Pythagoras theorem,

$\begin{array}{rcl} 3^{2} + h^{2} & = & 5^{2} \\ h^{2} & = & 25 - 9 \\ = & 16 \\ h & = & 4 \end{array}$

Step 2

Formula of trapezium

$\begin{array}{rcl} A & = & \frac{h}{2} (a + b) \\ = & \frac{4}{2} (6 + 10) \\ = & 2 \times 16 \\ = & 32 \end{array}$

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