Answer:
3234.2 W
Explanation:
Since intensity I = Power/Area. The intensity of the light from the sun, I = power radiated by sun/area of sphere of radius, r = 1.5 Ć 10Ā¹Ā¹ m.
So, I = 3.9 10Ā²ā¶W/4Ļ(1.5 Ć 10Ā¹Ā¹ m)Ā² = 2.069 Ć 10Ā³ W/mĀ².
Now, the power radiated on the patch of area 0.570 mĀ² at the equator is
P = Icos27/A = 2.069 Ć 10Ā³ W/mĀ² cos27/0.570 mĀ² = 1843.49/0.570 = 3234.2 W