ANSWER
[tex]366.3 {cm}^{2} [/tex]
EXPLANATION
Area of a sector is given by:
[tex] = \frac{ \theta}{360} \times \pi {r}^{2} [/tex]
The radius of the circle is 20cm, the arc measure of the sector is 105°
We substitute the values into the formula to obtain,
[tex]= \frac{ 105 \degree}{360 \degree} \times (3.14) ({20})^{2} [/tex]
We simplify to obtain;
[tex] = 366.3 {cm}^{2} [/tex]
correct to the nearest tenth.
