# True or False: The area of a circle of radius 14 units is equal to the surface area of a sphere of radius 7 units?

Jun 19, 2018

Yes, the statement is true.

#### Explanation:

The area of the circle = $\pi {r}_{1}^{2}$
The area of a sphere = $4 \pi {r}_{2}^{2}$
${r}_{1} = 14$ gives the circle: $\pi {14}^{2} = \pi \cdot 4 \cdot {7}^{2} = 4 \pi {7}^{2}$
${r}_{2} = 7$ gives the area of the sphere: $4 \pi {7}^{2}$

As the two expressions are equal, the statement is true.