Answer:
The area of the circle is
![\mathbf{6.25\pi}](https://img.qammunity.org/2021/formulas/mathematics/college/9uxmr3rxmhg0fp7nex3vowaxqno4bzr60p.png)
Explanation:
Area of a Circle
A circle of radius r has an area calculated by the following formula:
![A=\pi r^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/y53l5bajukem3vosj2tgna2lxvbu4ngh5h.png)
The diameter of a circle is twice the radius, thus the radius is half the value of the diameter.
A given circle has a diameter of 5 inches.
The radius of this circle is r = 5/2 = 2.5 inches.
Thus, the area is calculated below:
![A=\pi 2.5^2 = 6.25\pi](https://img.qammunity.org/2021/formulas/mathematics/college/skk50p37depzc9rtvbu7pkarhu0n65qiaw.png)
The area of the circle is
![\mathbf{6.25\pi}](https://img.qammunity.org/2021/formulas/mathematics/college/9uxmr3rxmhg0fp7nex3vowaxqno4bzr60p.png)