Chapter 6: Q. 86 (page 365)

In the problem, $A$ denotes 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 is $9.41 s q u a r e m e t e r s$ .

Step by step solution

Step 1. Given information

$r = 3 m e t e r s, θ = 120 °, A = ?$

Step 2. Formula Used

The area $A$ of the sector of a circle of radius $r$ formed by the central angle of $θ$ radian is

$A = \frac{1}{2} r^{2} θ$ .

Step 3. Calculation

We have,

$r = 3 m e t e r s a n d θ = 120 ° = 2.09 r a d i a n$

Now,

The area $A$ of a sector is

$A = \frac{1}{2} r^{2} θ$

$A = \frac{1}{2} \times 3^{2} \times 2.09$

$A \approx 9.41 s q u a r e m e t e r s$

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In the problem, $A$ denotes 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

Step by step solution

Step 1. Given information

Step 2. Formula Used

Step 3. Calculation

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In the problem,Adenotes the area of the sector of a circle of radiusrformed by the central angleθ.Find the missing quantity. Round answers to three decimal places .

Short Answer

Step by step solution

Step 1. Given information

Step 2. Formula Used

Step 3. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

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In the problem, $A$ denotes 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 .