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RS Aggarwal Solutions Class 10 Chapter 12 - Circles (Ex 12A) Exercise 12.1

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RS Aggarwal Solutions Class 10 Chapter 12 - Circles

Free PDF download of RS Aggarwal Solutions Class 10 Chapter 12 - Circles (Ex 12A) Exercise 12.1 solved by Expert Mathematics Teachers on Vedantu. All Ex 12.1 Questions with Solutions for RS Aggarwal Class 10 Math to help you to revise the complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams. 

Every NCERT Solution is provided to make the study simple and interesting on Vedantu. Register Online for Class 10 Science tuition on Vedantu to score more marks in the CBSE board examination. Vedantu is the No.1 Online Tutoring Company in India Provides you Free PDF download of NCERT Solutions for Class 10 Math solved by Expert Teachers as per NCERT (CBSE) Book guidelines. All Chapter wise Questions with Solutions to help you to revise the complete Syllabus and Score More marks in your examinations.

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Overview of Class 10 Chapter 12 - Circles (Ex 12A) Exercise 12.1

Circles

A circle is a plane figure with a curved surface. Every point on the circle is equidistant from the circle's center, which is a single point.  A circle is a two-dimensional shape with a radius measurement. 


What Exactly is a circle?

A circle is a two-dimensional shape created by a set of points in the plane that are separated by a constant or fixed distance (radius). The fixed point is the origin, or center, of the circle, and the radius is the fixed distance between the points from the origin.


Parts of a Circle

The following are the main components of a circle:

  • Circumference: The circumference of a circle, also known as the perimeter of a circle, is the distance around the circle's perimeter.

  • Radius: A circle's radius is the distance between its center and any point on its circumference. A circle has numerous radii because they are the distance from the center and touch the circle's perimeter at different locations.

  • Diameter: A diameter is a straight line that links two points on the circle's periphery and passes through its center. It's important to remember that the circle might have numerous diameters, but they must all:

  1. go straight through the middle

  2. be made up of straight lines

  3. At two locations, touch the circle's boundary.

  • Cord: Any line segment touching the circle at two different locations on its perimeter is called a chord of circles.

  • Tangent: A tangent of a circle is a line that intersects the circle at a single point.

  • Secant: In circles, a secant is a line that crosses two points on an arc/circumference of a circle.

  • Arc: A curve is a segment or portion of a circle's circumference that is referred to as an arc of a circle.

  • Segment: A segment in a circle is defined as the area enclosed by the chord and the associated arc in a circle. Minor segments and significant segments are the two sorts of segments.

  • Sector: The region contained by two radii and the associated arc in a circle is referred to as the sector of a circle.

FAQs on RS Aggarwal Solutions Class 10 Chapter 12 - Circles (Ex 12A) Exercise 12.1

1. How to download Vedantu’s RS Aggarwal Solutions Class 10 Exercise 12A?

The entire download process of all the study material provided by Vedantu is hassle-free and does not incur any cost. To download RS Aggarwal Solutions Class 10 Chapter 12 - Circles (Ex 12A) Exercise 12.1:

  • Click on the “Download PDF” option at the beginning of this page.

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If you have not yet registered with Vedantu, you can do so now using your email address or phone number. The registration process is also free.

2. What are some of the important circle’s formulas?

 Here are a few important formulas from the chapter Circles:

  • The formula for the Area of a Circle: The area of a circle refers to the amount of space it covers. The radius of a circle determines the area of the circle. The area of the circle = π×r2

  • Circumference of a Circle Formula: A circle's circumference is equal to its whole length (boundary). The circumference of a circle = 2 × π × r

  • The formula for Circle Diameter: The radius is twice as large as the diameter. The diameter of the circle = 2 × r

3. What is the importance of Vedantu’s Solutions for RS Aggarwal Class 10?

RS Aggarwal Solutions Class 10 Chapter 12 Exercise 12.1  by Vedantu are important for all the Class 10 Mathematics students who often practise from RS Aggarwal books for the following reasons:

  • Each solution is prepared with caution under the expert guidance of Mathematics experts.

  • The solutions follow CBSE guidelines and are the perfect tools to understand the skill of writing ideal answers for the exams.

  • The solutions are perfectly authentic, reliable, and recommended by experts.

  • Not even a single question is left unanswered from the RS Aggarwal Book.

  • Chapter-wise solutions can be easily downloaded in PDF format for free from the Vedantu website and mobile app. 

4. What is understood by the radius of the circle?

A radius is the distance between a circular object's center and its furthest edge or boundary. A radius is a dimension that applies to a sphere, semi-sphere, cone with a circular base, and cylinder with circular bases in addition to a circle.


The locus of a point moving in a plane at a constant distance from a fixed point is defined as a circle. The center of the circle is the fixed point, and the radius of a circle is the distance between any point on the circle and its center.

5. What is understood by the diameter of the circle?

The diameter of a circle is the length of a line that runs from one point on the circle to another and passes through its center. It is equivalent to double the circle's radius. The letters 'd' or 'D' are commonly used to represent it.


2 x Radius = Diameter


Or


Diameter/2 = Radius


Two of the properties of a diameter are listed below.

  • The circle's longest chord is called the diameter.

  • A circle's area and circumference can also be expressed in terms of its diameter.