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Chapter 1: Q22PE (page 11)

What is the area of a circle 3.102 cmin diameter?

Short Answer

Expert verified

The area of the circle is 7.55cm2 or 0.0755m2.

Step by step solution

01

 Definition of area of circle

The area of a circle is equal to pi (3.14) multiplied by the square of the radius.

02

 Stating given and known data

Diameter of the circle, D=3.102cm.

Therefore, radius of the circle, R = 1.551 cm (since R = D/2).

03

Calculation of area of circle

Write the equation for the area of the circle.

A=蟺搁2

Substitute 1.551cmfor R in the above equation.

A=3.14脳1.5512=7.55cm2=0.0755m2

04

Conclusion

The area of the circle is 7.55cm2 or 0.0755m2.

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