These worksheets will teach your students how to correctly determine the area of a circle.

Understanding the applications of using area of circles is a critical skill that has gone into just about every major engineering feat since the dawn of architecture. Many of today's standing structures including bridges and tunnels have this skill to thank for standing strong in the face of everything that Mother Nature could throw at it. In order to determine the area of a circle you must understand two simple measures as one of them will have to be given to you or measurable. The first measure you need to understand is diameter. This is the length of a line travels from a point on the circle travels directly through the center of the circle to another point on circle. This is a basic measure of the size of the circle. The measure of radius is the distance travelled from one point on the circle to the direct center. The area of a circle is equivalent to the product of pi and the square of its radius.

Use these worksheets to show how to use given information about a circle to determine, with the use of the proper formula, that circle's radius and circumference. In this section we will throw in a mix of algebra and higher level critical thinking skills when working with these problems. Students should be able to navigate this material quickly and efficiently. This section of our site will really get the kids thinking about determining the area of given sectors and segments of circles using the values of the angles, the radius, the length of an arc, etc. Make sure to print the first three sheets as they are the key to learning this topic in depth.



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Print Basic Area of Circles Worksheets

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Area of the Circle - Lesson

Learn how to find the radius of a circle. Example: Find the area of a circle with radius DS = 5 cm

Worksheet 1

Simplify the equations using exponents: For each circle, find the area. (Use ℼ as 3.14)

Worksheet 2

Simplify the equations using exponents: For each circle, find the area. (Use ℼ as 3.14)

Review Sheet

Review the concept. Find the area of a circle when the radius formula is YF = 4 cm

Quiz

For each problem find the area of the circle given. Then check your answers and record your total score below.

Do Now

Complete the following problems, then put your answer in the "My Answer" box.

Meet the Skill

Learn how to use a grid to help you find the area of a circle. Estimate the area of a circle by counting the number of squares. Then find the exact answer.

Try the Skill

Follow the steps to find the area of a circle with a radius of 4 units.

Practice the Skill

Solve each problem by using the skills you have learned to find the area of a circle. Example: A large pizza has a diameter of 30 cm. Find the area of pizza in square centimeters.

Practice the Skill Twice

Solve each problem by using the skills you have learned to find the area of a circle. Example: The radius of a circle is 21 cm. Find the area of the circle.

Show the Skill

For each, use the grid to estimate the area the circle takes up by counting the squares. Then find the exact area in square units.

Warm Up

Solve each problem by finding the area of the circle given. Example: The diameter of the circle is 20.5 inches. Find the area of the circle.

(Basic) - Independent Practice 1

For each, find the area of the circle using the information given.

(Basic) - Independent Practice 2

For each, find the area of the circle using the information given.

Visual Area / Circumference of a Circle

You will find both the area and the circumference of the circle.

Visual Area / Circumference of a Circle

This is the color version of that previous worksheet.

The Radius Is Yours

The area of a circle is the product of ℼ (3.14) and the radius squared (3.14 x r2). The circumference of a circle the product of π and the diameter of the circle (3.14 x D).

Oh Yeah Radius!

Another pass at this skill.

Meet the Skill

Find the area of a circle with diameter JK = 3.8 in Here we have diameter = 3.8 in

Try the Skill

Using the formula: Area of a circle = ℼ × radius2 ℼ = 3.14 Radius = diameter/2

Practice Worksheet 1

Find the area of the given circles. (Use ℼ as 3.14)

Practice Worksheet 2

Ten problems that you can knock out of the park.

Show the Skill

The radius and diameter will be helpful here.

Warm Up

Get your hands warmed up with this one.

Intermediate Skills: Independent practice 1

Find the area of a circle with a pre-determined radius.

Intermediate Skills: Independent practice 2

Students should have a good understanding of the skill before attempting these sheets.

Intermediate Skills: Independent practice 3

One last sheet to work through on this topic.

Area of Sector and Segment: Lesson

In circle O, the radius is 80, and the measure of minor arc RS is 120 degrees. Find the length of minor arc RS to the nearest integer.

Practice Problems

Find the area of shaded sector shown in fig. The radius of the circle is 30 units and the length of the arc measures 30 units.

Area of Sector and Segment - Worksheet 1

Find the area of shaded sector shown in fig. The radius of the circle is 90 units and the length of the arc measures 170 units. There are 3 equal segments in semi circle O. If the radius of circle is 28. What is the area of each segment?

Worksheet 2

There are 3 equal segments in semi circle O. If the radius of the circle is 8. What is the area of each segment? There are 3 equal segments in semi circle O. If the radius of circle is 35. What is the area of each segment?

Review Sheet

Problem: In circle O, the radius is 180, and the measure of minor arc PQ is 170 degrees. Find the length of minor arc PQ to the nearest integer.

Sector and Segment Quiz

There are 3 equal segments in semi circle O. If the radius of circle is 70. What is the area of each segment?

Class Kickoff

Complete the problems. Put your answer in the "My Answer" box