### Home > GC > Chapter 11 > Lesson 11.2.2 > Problem11-84

11-84.

Area of slice = πr²

3 = πr²

$\frac{ 3 }{\pi }=r^2$

$\text{By the Pythagorean Theorem }x^2 + \left(\sqrt{\frac{3}{\pi}}\right)^2 = 2.5^2$

$x^2+\frac{ 3 }{\pi }=6.25$

$\sqrt{\frac{3}{\pi}} = r =\text{ radius of slice}$

If the diameter of sphere = 5 inches, then the radius = x = 2.5 inches.

x = 2.3 in