If the area of the sector is bounded by a 70° arc then that is also the measure of the central angle in question. The formula for the area of a sector is [tex] A_{s} = \frac{ \beta }{360} * \pi r^{2} [/tex]. We now have our angle beta and we were given the radius, so filling in accordingly, we have [tex] A_{s} = \frac{70}{360} * \pi (15) ^{2} [/tex] which simplifies to [tex] \frac{175 \pi }{4} [/tex]. If you have to leave your answer in terms of pi, then you're done. If you have to multiply in the value for pi, you would have 137.44 miles squared.
