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# Area of a Circle

#### Grade 7 Math Worksheets

The area of a circle is the amount of space enclosed by the circle. The formula gives it: Area of Circle = πr^2.

• Area of a Circle
• Solved Examples
• FAQs

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## Area of a Circle

The area of a circle is the amount of space enclosed by the circle. It is given by the formula:

Area = πr^2

where “A” is the area of the circle, “π” (pi) is a mathematical constant approximately equal to 3.14159, and “r” is the radius of the circle.

This formula shows that the area of a circle is directly proportional to the square of its radius. In other words, as the radius of a circle increases, its area increases at a faster rate.

## Solved Examples

Question: A circular pond has a diameter of 12 m. What is the area of the pond?

Solution:

A = πr^2

r = d/2 = 12 m/2 = 6 m

A = π x (6 m)^2

A ≈ 113.1 m^2

Therefore, the area of the pond is approximately 113.1 square meters.

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Question: A circular pizza has a radius of 8 inches. What is the area of the pizza?

Solution:

A = πr^2

A = π x (8 inches)^2

A ≈ 201.06 square inches

Therefore, the area of the pizza is approximately 201.06 square inches.

Question: A circular rug has an area of 50π square feet. What is the radius of the rug?

Solution:

A = πr^2

50π = πr^2

r^2 = 50

r ≈ 7.07 feet

Therefore, the radius of the rug is approximately 7.07 feet.

Question: The area of a circle is 36π square cm. What is the radius of the circle?

Solution:

A = πr^2

36π = πr^2

r^2 = 36

r = 6 cm

Therefore, the radius of the circle is 6 cm.

## Area of a Circle FAQS

##### What is the formula for the area of a circle?

The formula for the area of a circle is A = πr^2, where “A” is the area of the circle, “π” is a mathematical constant approximately equal to 3.14159, and “r” is the radius of the circle.

##### How do you calculate the area of a circle?

To calculate the area of a circle, you need to know the radius of the circle. Then, you can use the formula A = πr^2 to find the area.

##### What is the relationship between the area and the radius of a circle?

The area of a circle is directly proportional to the square of its radius. In other words, as the radius of a circle increases, its area increases at a faster rate.

##### What are some real-world applications of the area of a circle?

The area of a circle is used in various real-world applications, such as in calculating the amount of paint needed to cover a circular surface, the amount of carpet or flooring needed to cover a circular room, and the size of a circular plot of land.

##### What is the unit of measurement for the area of a circle?

The unit of measurement for the area of a circle is square units, such as square meters (m^2), square centimeters (cm^2), or square inches (in^2), depending on the system of measurement used.

Gloria Mathew writes on math topics for K-12. A trained writer and communicator, she makes math accessible and understandable to students at all levels. Her ability to explain complex math concepts with easy to understand examples helps students master math. LinkedIn

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