Answer:
21.98in²
Step-by-step explanation:
The section of the birthday pie that Karen ate forms a sector.
The central angle of this sector is 70°
The diameter is 12 inches.
This means the radius which is half of the diameter is 6 inches.
The area of the section that is leftover is given by:
[tex] = \frac{ \theta}{360 \degree} \times \pi \: {r}^{2} [/tex]
We substitute to get:
[tex] = \frac{70}{360} \times 3.14 \times {6}^{2} [/tex]
[tex] = \frac{7}{36} \times 3.14 \times 36 = 7 \times 3.14 \\ = 21.98 {in}^{2} [/tex]
