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91Ó°ÊÓ

In the problem, Adenotes the area of the sector of a circle of radius rformed by the central angle θ. Find the missing quantity. Round answers to three decimal places .

Short Answer

Expert verified

The required area of a sector is1.04squareinches.

Step by step solution

01

Step 1. Given information

r=2inches,θ=30°,A=?

02

Step 2. Formula Used 

The Area Aof the sector of a circle of radius rformed by the central angle of θradian is

A=12r2θ.

03

Step 3. Calculation

We have,

r=2inchesandθ=30°=0.52radian

Now,

The Area Aof a sector is

A=12r2θ

⇒A=12×22×0.52

⇒A=1.04squareinches

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