The distance between the centers of the three circles which are mutually tangent to each other externally are 10, 12, and 14 units. Find the area of the smallest circle. A. 25π C. 36π B. 9π D. 16π Click here to expand or… Jhun Vert Sat, 07/06/2024 - 20:39 Click here to expand or collapse this section Small, Medium, Large = the circles $\begin{matrix} S & + & M & \, & \, & = & 10 & \, & \leftarrow \, \text{Equation (1)} \\ S & \, & \, & + & L & = & 12 & \, & \leftarrow \, \text{Equation (2)} \\ \, & \, & M & + & L & = & 14 & \, & \leftarrow \, \text{Equation (3)} \end{matrix}$ From Equations (1), (2), and (3) $S = 4$ Area of the small circle $\text{Area} = \pi (4^2) = 16\pi ~ \text{unit}^2$ Log in or register to post comments Log in or register to post comments
Click here to expand or… Jhun Vert Sat, 07/06/2024 - 20:39 Click here to expand or collapse this section Small, Medium, Large = the circles $\begin{matrix} S & + & M & \, & \, & = & 10 & \, & \leftarrow \, \text{Equation (1)} \\ S & \, & \, & + & L & = & 12 & \, & \leftarrow \, \text{Equation (2)} \\ \, & \, & M & + & L & = & 14 & \, & \leftarrow \, \text{Equation (3)} \end{matrix}$ From Equations (1), (2), and (3) $S = 4$ Area of the small circle $\text{Area} = \pi (4^2) = 16\pi ~ \text{unit}^2$ Log in or register to post comments
Click here to expand or…