Area of a Circle - Geometry

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Area Circle

Area of a Circle

Area of a Circle is the amount of space occupied by the circle.

More about Area of a Circle

Area of a circle of radius r is given by = πr².

Example of Area of a Circle

Diameter = 12 cm, radius = = = 6 cm.
Area of a circle = πr² = π(6)² = 36π cm² or 113.04 cm². [Use π = or 3.14]

Solved Example on Area of a Circle

Find the area of a circle, if the diameter of the circle is 4 cm. [Use π = 3.14]
Choices:
A. 25.12 cm²
B. 6.28 cm²
C. 12.46 cm²
D. 12.56 cm²
Correct Answer: D
Solution:
Step 1: Let r be radius of the circle.
Step 2: Diameter of the circle = 2r
Step 3: 4 = 2 × r.
Step 4: r = 4/2 = 2 cm
Step 5: Area of the circle = π × r² [Formula.]
Step 6: Area of the circle = 3.14 × 4 = 12.56 [Substitute the values of π and r.]
Step 7: So, the area of the circle is 12.56 cm²

Related Terms for Area of a Circle

Area
Circle

Additional Links for Area of a Circle

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Browse for solved examples below on this Math Dictionary term:

SC BM Curriculum > Grade 7 > Measurement > II.C.3: Create and solve problems by finding the circumference and/or area of a circle when given the diameter or radius.

CBSE Curriculum > Grade 8 > Areas > Area of a Circle

California Assessment Curriculum - 2006 > Benchmark - Algebra II > Geometry & Measurements > 6MG1.1-Understand the concept of a constant such as π know the formulas for the circumference and area of a circle.

California Assessment Curriculum - 2006 > Grade 6 > Geometry & Measurements > 6MG1.1-Understand the concept of a constant such as π know the formulas for the circumference and area of a circle.

Michigan Assessment Curriculum - 2006 > Grade 8 > Interpreting Geometry > G.SR.08.03-Understand the definition of a circle; know and use the formulas for circumference and area of a circle to solve problems.

MIssissippi Assessment Curriculum - 2006 > Benchmark - Algebra II > Interpreting Measurement > 4.f-Calculate the circumference and area of a circle with and without manipulatives.

MIssissippi Assessment Curriculum - 2006 > Grade 6 > Interpreting Measurement > 4.f-Calculate the circumference and area of a circle with and without manipulatives.

Missouri Assessment Curriculum - 2006 > Grade 7 > Exploring Measurement > M.2.C.7.ai-Describe how to solve problems involving circumference and/or area of a circle.

Minnesota Assessment curriculum - 2006 > Grade 7 > Geometry and Measurement > V.B.1-Calculate the radius, diameter, circumference and area of a circle given any one of these.

New Jersey Assessment Curriculum - 2006 > Benchmark - Algebra II > Geometry, Measurement, and Spatial Relationships > 4.2.6.E.2-Develop and apply strategies and formulas for finding perimeter and area: Triangle, square, rectangle, parallelogram, and trapezoid. Circumference and area of a circle.

New Jersey Assessment Curriculum - 2006 > Grade 6 > Geometry, Measurement, and Spatial Relationships > 4.2.6.E.2-Develop and apply strategies and formulas for finding perimeter and area: Triangle, square, rectangle, parallelogram, and trapezoid. Circumference and area of a circle.

New York Assessment Curriculum - 2006 > Grade 7 > Interpreting Geometry > 7.G.1-Calculate the radius or diameter, given the circumference or area of a circle.

South Carolina Assessment Curriculum - 2006 > Grade 7 > Exploring Measurement > II.C.3-Create and solve problems by finding the circumference and/or area of a circle when given the diameter or radius.

Virginia Asssessment Curriculum - 2006 > Benchmark - Algebra II > Exploring Measurement > 6.12.a-Solve problems involving the circumference and/or area of a circle when given the diameter or radius.

Virginia Asssessment Curriculum - 2006 > Grade 6 > Exploring Measurement > 6.12.a-Solve problems involving the circumference and/or area of a circle when given the diameter or radius.

Louisiana Assessment Curriculum - 2006 > Grade 7 > Interpreting Geometry > GLE 27-Model and explain the relationship between perimeter and area and between circumference and area of a circle.

Louisiana Assessment Curriculum - 2006 > Grade 7 > Interpreting Geometry > GLE 28-Determine the radius, diameter, circumference, and area of a circle and apply these measures in real-life problems.

Indiana Assessment Curriculum - 2006 > Benchmark - Algebra II > Exploring Measurement > 6.5.4-Understand the concept of the constant π as the ratio of the circumference to the diameter of a circle. Develop and use the formulas for the circumference and area of a circle.

Indiana Assessment Curriculum - 2006 > Grade 6 > Exploring Measurement > 6.5.4-Understand the concept of the constant π as the ratio of the circumference to the diameter of a circle. Develop and use the formulas for the circumference and area of a circle.

Alaska Assessment Curriculum - 2006 > Grade 8 > Perimeter, Area, and Volume > [8] G-8-The student solves problems by determining the circumference and area of a circle. (M5.3.4)

New Mexico Assessment Curriculum - 2006 > Grade 7 > Interpreting Geometry > 7.M.3.A.2-Understand the concept of a constant and use the formulas for the circumference and area of a circle.

Maryland Assessment Curriculum - 2006 > Grade 8 > Applications in Measurement > 3.C.1.a-Estimate and apply measurement formulas: Estimate and determine the circumference or area of a circle.

Arizona Assessment Curriculum - 2006 > Grade 7 > Measurement and Geometry > 4.4.PO 5-Solve problems involving the area of a circle.

Arkansas Assessment Curriculum - 2006 > Grade 7 > Interpreting Measurement > M.13.7.3-Develop and use strategies to solve problems involving area of a trapezoid and circumference and area of a circle.

Georgia Assessment Curriculum - 2006 > Grade 5 > M5M1 Students will extend their understanding of area of fundamental geometric plane figures. > M5M1.e-Estimate the area of a circle through partitioning and tiling and then find the area of a circle with formula.

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