The sun radiates a total power of about 2×10^26 watts (W). If we imagine the sun’s surface to be marked off in latitude and longitude and assume uniform radiation, (a) what power is radiated by the region lying between latitude 50◦ N and 60◦ N and longitude 12◦ W and 27◦ W? (b) What is the power density on a spherical surface 93,000,000 miles from the sun in W/m^2?