Q22PE - College Physics (Urone)

Question

What is the area of a circle 3.102 cm in diameter?

Step-by-Step Solution

Answer

The area of the circle is  $7.55 {\mathrm{cm}}^2$ or $0.0755 {\mathrm{m}}^2$ .

Step 1: Definition of area of circle

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

Step 2: Stating given and known data

Diameter of the circle,  $\mathrm{D}=3.102 \mathrm{cm}$ .

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

Step 2: Calculation of area of circle

Write the equation for the area of the circle.

$A={\mathrm{\pi R}}^2$

Substitute  $1.551 \mathrm{cm}$ for R  in the above equation.

$$\begin{gathered} \mathrm{A}=3.14\times {\left(1.551\right)}^2 \\ =7.55 {\mathrm{cm}}^2 \\ =0.0755 {\mathrm{m}}^2 \end{gathered}$$

Step 3: Conclusion

The area of the circle is  $7.55 {\mathrm{cm}}^2$ or  $0.0755 {\mathrm{m}}^2$.