Question

# Assuming the average distance of the earth from the sun to be 149,700,000 km, and the angle subtended by the sun at the eye of a person on the earth to be 32’, find the sun’s diameter.

Let D km denote the diameter of the sun. Since the angle subtended by the sun is very small, therefore, its diameter is approximately equal to small arc of a circle with centre at the eye of the observer on the earth.

∴                     l = D,   r =  149,700,000 km

Since

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Note:
1. The angle traced by hour hand in 1 hour is equal to .
2. The angle traced by minute hand in 1 minute is equal to