Answer:
112.5 square inches
Step-by-step explanation:
[tex]A(\triangle\: APB) = \frac{1}{2} \: {r}^{2} \sin \theta \\ \\ = \frac{1}{2} \times {(15)}^{2} \: \sin \: 90 \degree \\ \\ = \frac{1}{2} \times 225 \times 1 \\ \\ = \frac{225}{2} \\ \\ \bold{\purple{ A(\triangle\: APB) = 112.5 \: {inches}^{2} }}[/tex]