Chapter 6: Q. 93 (page 366)

Find the area of the sector of a circle of radius $4$ meters formed by an angle of $45^{°}$ . Round the answer to two decimal places.

Short Answer

Expert verified

The area of the sector A of the circle is $6.28 m^{2}$

Step by step solution

Step 1. Given information

The circle has an area of $4$ meters and it forms an area with the angle $45^{\circ}$

Step 2. Used formulae

The area of a circle with radius $r$ , angle $θ$ is $A = \frac{1}{2} r^{2} θ$

Step 3. Calculation

$45^{\circ} = 45 \cdot \frac{π}{180} = \frac{π}{4}$ radians.

For the given problem, we substitute and the area is obtained asrole="math" localid="1646735777766" $A = \frac{1}{2} \cdot 4^{2} \cdot \frac{π}{4} = 2 π \approx 6.2832 m^{2}$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Find the area of the sector of a circle of radius $4$ meters formed by an angle of $45^{°}$ . Round the answer to two decimal places.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Used formulae

Step 3. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Applied Mathematics

Theoretical and Mathematical Physics

Probability and Statistics

Mechanics Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

Find the area of the sector of a circle of radius 4 meters formed by an angle of 45°. Round the answer to two decimal places.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Used formulae

Step 3. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Applied Mathematics

Theoretical and Mathematical Physics

Probability and Statistics

Mechanics Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

Find the area of the sector of a circle of radius $4$ meters formed by an angle of $45^{°}$ . Round the answer to two decimal places.