Class 10 Exam > Class 10 Questions > If the area of a sector of the circle of radi...
Start Learning for Free
If the area of a sector of the circle of radius 18 cm is 72 by CM square then the angle of theta?
Most Upvoted Answer
If the area of a sector of the circle of radius 18 cm is 72 by CM squa...
Calculating the Angle of a Sector in a Circle
To find the angle of a sector in a circle when given the area of the sector, we can use the formula:
θ = (Area of Sector / πr²) x 360°
where θ is the angle of the sector, π is a constant (approximately 3.14), and r is the radius of the circle.
Given Values
In this case, the radius of the circle is given as 18 cm and the area of the sector is 72 cm².
Calculating the Angle
Plugging the given values into the formula:
θ = (72 / (3.14 x 18²)) x 360°
θ = (72 / (3.14 x 324)) x 360°
θ = (72 / 1017.36) x 360°
θ ≈ 0.0708 x 360°
θ ≈ 25.49°
Therefore, the angle of the sector in the circle with a radius of 18 cm and an area of 72 cm² is approximately 25.49 degrees.
To find the angle of a sector in a circle when given the area of the sector, we can use the formula:
θ = (Area of Sector / πr²) x 360°
where θ is the angle of the sector, π is a constant (approximately 3.14), and r is the radius of the circle.
Given Values
In this case, the radius of the circle is given as 18 cm and the area of the sector is 72 cm².
Calculating the Angle
Plugging the given values into the formula:
θ = (72 / (3.14 x 18²)) x 360°
θ = (72 / (3.14 x 324)) x 360°
θ = (72 / 1017.36) x 360°
θ ≈ 0.0708 x 360°
θ ≈ 25.49°
Therefore, the angle of the sector in the circle with a radius of 18 cm and an area of 72 cm² is approximately 25.49 degrees.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Top Courses for Class 10View all
If the area of a sector of the circle of radius 18 cm is 72 by CM square then the angle of theta?
Question Description
If the area of a sector of the circle of radius 18 cm is 72 by CM square then the angle of theta? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If the area of a sector of the circle of radius 18 cm is 72 by CM square then the angle of theta? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the area of a sector of the circle of radius 18 cm is 72 by CM square then the angle of theta?.
If the area of a sector of the circle of radius 18 cm is 72 by CM square then the angle of theta? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If the area of a sector of the circle of radius 18 cm is 72 by CM square then the angle of theta? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the area of a sector of the circle of radius 18 cm is 72 by CM square then the angle of theta?.
Solutions for If the area of a sector of the circle of radius 18 cm is 72 by CM square then the angle of theta? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of If the area of a sector of the circle of radius 18 cm is 72 by CM square then the angle of theta? defined & explained in the simplest way possible. Besides giving the explanation of
If the area of a sector of the circle of radius 18 cm is 72 by CM square then the angle of theta?, a detailed solution for If the area of a sector of the circle of radius 18 cm is 72 by CM square then the angle of theta? has been provided alongside types of If the area of a sector of the circle of radius 18 cm is 72 by CM square then the angle of theta? theory, EduRev gives you an
ample number of questions to practice If the area of a sector of the circle of radius 18 cm is 72 by CM square then the angle of theta? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup