Answer:
9 π cm²
Step-by-step explanation:
Area of a circle = πr²
We have to find the area of the shaded region which is ¼ of the area of a circle (since the intercepted arc is 90°).
So to find the area of the shaded region, me must divide the area of the circle by 4, therefore
[tex]shaded \: \: area \: = \frac{\pi {r}^{2} }{4} [/tex]
Now, let's substitute r (which is 6 cm) in the formula
[tex]shaded \: area = \frac{\pi( {6}^{2}) }{4} \\ = \frac{36\pi}{4} \\ = 9\pi[/tex]
