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

Short Answer

Expert verified

The required Area of sector is36squarefeet.

Step by step solution

01

Step 1. Given information

r=6feet,θ=2radians,A=?

02

Step 2. Formula Used 

The area Aof the sector of a circle of radius rformed by the central angle of θradians is

A=12r2θ

03

Step 3. Calculation

We have,

r=6feetandθ=2radians

Now,

The area Aof a sector is

A=12r2θ

⇒A=12×62×2

⇒A=36squarefeet

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