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# Circles Class 10 Formulas

Circle is one of the most common shapes that we come across in our daily lives therefore, it is vital to have a clear knowledge of their symmetric properties and relevant formulas. Insufficient knowledge of circle class 10 formulas can lead to difficulties in solving problems based on them. When the concept of circle formulas is well understood, applying them becomes easy. This article provides a list of all circles class 10 formulas with relevant examples to make the learning process simple and comfortable for students.

## List of Circles Class 10 Formulas

Students can refer to the list of circle class 10 formulas provided below:

- Circumference of a circle = 2 π r
- Area of a circle = π r
^{2} - Arc length of sector of a circle with radius r and angle θ is ( θ/360) x 2 π r
- Area of sector of a circle with radius ‘r’ and θ angle = ( θ/360) x π r
^{2} - Area of segment of a circle = Area of the sector – Area of the triangle.

## Applications of Circles Class 10 Formulas

Circle class 10 formulas related to the radius, area, circumference and diameter are applied in practical scenarios to obtain important information. Some of the basic applications of circles class 10 formulas are listed below:

- One of the major applications of circle class 10 formulas is in the field of science to design various instruments and devices like particle separators.
- These formulas are applied in space studies to calculate the trajectories, circumference of planets and compare their sizes.
- Circle class 10 formulas are often used in sports to design athletic tracks and many other elements.
- Architects use these formulas to design and enhance various features of the structures.

## Circles Class 10 Formulas Examples

**Example 1:** What will be the area of a quadrant of a circle given that its circumference is 42 cm?

**Solution:** Given, circumference of circle is 42

By putting values in circumference formula, we get, (2 x 3.14) r = 42

r = 42 / (2 x 3.14)

r = 6.68 cm

Therefore, Area of a quadrant of circle = π r 2 /4

= (3.14 x 6.682) /4

= 35.02 cm^{2}

**Example 2:** A circle has a radius of 5 cm, an arc subtends an angle of 50° at the center. What is the length of the arc?

**Solution:** We know that the formula for Length of arc is ( θ/360) x 2 π r

By substituting values of r and θ in this formula, we get,

= (50/360) x 2 x 3.14 x 5

= 4.36 cm

Therefore, the length of arc is 4.36 cm

## Tips to Memorize Circles Class 10 Formulas

The below-mentioned tips will be helpful for students in learning the circles class 10 formulas effectively:

- Before memorizing the circle class 10 formulas students should ensure a clear knowledge of all terms and concepts. They can refer to the theory part and solved examples provided in their textbook to get clarity on them.

- Students must practice a lot of problems based on these formulas to get thorough in concepts and understand the logic behind each formula.

- Referring to online resources like formula sheets, NCERT solutions and worksheets will help students to clarify their doubts and memorize these formulas better.

Students can download the printable **Maths Formulas Class 10** sheet from below.

## FAQs on Circles Class 10 Formulas

### What are Important Circles Class 10 Formulas?

The important circles class 10 formulas are listed below:

- Circumference of a circle = 2 π r
- Area of a circle = π r
^{2} - Length of an arc of a sector of a circle with radius r and angle with degree measure θ is ( θ/360) x 2 π r
- Area of a sector of a circle with radius r and angle with degree measure ( θ/360) x π r
^{2}

### What are the Benefits of Solving Problems Based on Circle Class 10 Formulas?

Solving various problems based on circle class 10 formulas will help students improve their understanding of the various geometrical terms related to a circle. It will help them build a clear knowledge of the area and perimeter formulas of sector and segment. Students are also advised to go through the logical derivation of these formulas to get a better understanding of each of them.

### How Many Formulas are There in Circles Class 10 Formulas?

There are five major formulas in circles class 10 formulas as listed in this article. Students can go through the solved examples to get an idea of how these formulas are applied in solving the problems related to circular shapes.

### How can I Memorize Circles Class 10 Formulas?

Students can take help of the below-mentioned tips to memorize the circles class 10 formulas:

- The simplest approach to remembering the formula is to apply them in solving various problems.
- Students should make an effort to revise and apply these formulas on regular basis in order to get well versed in them.
- Understanding the logic behind the formula is highly useful in learning its practical use.
- Eliminating doubts by taking the help of teachers is helpful in gaining clarity on them.

### How to Download the Circle Class 10 Formulas pdf?

Students can download the Circles Class 10 formulas pdf through the option provided on this page. First, click on the download link and enter your phone number to receive OTP. Provide the OTP to automatically download the formula sheet on your device.

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