Answer:
The area of the circle in terms of π is:
Explanation:
To find the area of that circle, you can use the equation:
- Area of a circle =
![\pi * (D^(2))/(4)](https://img.qammunity.org/2022/formulas/mathematics/college/101yf65yc5nwv4eew1wca9pvz4bhk2wkqc.png)
Where:
Now, we can replace the given measurement in the equation:
- Area of a circle =
![\pi * (((3)/(4)in) ^(2))/(4)](https://img.qammunity.org/2022/formulas/mathematics/college/d7emza3n50mm38tty69l0tyabpsotbwtig.png)
- Area of a circle =
![\pi * ((9)/(16)in ^(2))/(4)](https://img.qammunity.org/2022/formulas/mathematics/college/fn83sms3kzcqus3a1rsaw08zpb6swhun2m.png)
- Area of a circle =
![\pi * (9)/(64) in^(2)](https://img.qammunity.org/2022/formulas/mathematics/college/b2d8t9mp1y9w63uo0wazggrmvl0ua7ng77.png)
That result is the same that to write:
- Area of a circle =
![(9)/(64)\pi in^(2)](https://img.qammunity.org/2022/formulas/mathematics/college/csgq58pn0qkhunuk6pkeobn9n581jgwvtx.png)
By this reason, the result is 9/64 π in^2, giving the result in terms of π.